answer the question below. Type your response in the space provided What is the height of the cylinder in the diagram? Round your answer to the nearest whole V = 904.78 cm³ 6cm​

Answers

Answer 1

Answer:

For this question, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.

We utilize the information that we know:

Radius = 6cmVolume = 904.78

Which we then plug into our equation(volume of cylinder formula):

V = π[tex]r^{2}[/tex]h

904.78 = 3.14(6^2) · h

Next solve for the h(height).

904.78 = 3.14(36) · h

904.78 = 113.04 · h

904.78 = 113.04h

/113.04     /113.04

8.00406935598 = h, which we round to 8.

8 centimetres is the height of this cylinder.


Related Questions

5. Which of the following is a function?
A. (1,7), (2,14), (3, 21), (1, 28)
B. (0, A), (5, B), (10, C), (15, D), (5, E)
C. (-5,1),(-10,1),(-15, 1), (-20,1),(-15,1)
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)

Answers

Answer:

D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)

Hope this helps!

Which is an equation of the line that passes through
the points (5, 2) and (10, -3)?

Answers

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-3-2}{10-5}[/tex]

Simplify

m=[tex]\frac{-5}{5}[/tex]

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: https://brainly.com/question/27166723

Tony was on the bumper cars at the amusement park. He turned his steering wheel 25 degrees to bump his friend. How many one-degree turns is this?
100 one-degree turns
50 one-degree turns
2.5 one-degree turns
25 one-degree turns

Answers

Answer:

25 one degree turns

Step-by-step explanation:

if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25

Answer:

25

Step-by-step explanation:

Solve the equation. Write the answer in terms of the natural logarithm.
e^(8x+9)=14

The Solution set is { }.
Type exact answer in simplified form.

Answers

Step-by-step explanation:

Take the natural logarithm of both sides;

8x+9 = ln (14)

Transposition;

8x= ln(14)-ln(e⁹)

[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]

[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]

Amigranent
Practice with lines cut by a transversa
What is the value of x?
(2x - 5)°

Answers

Answer:

70

Step-by-step explanation:

Same side interior angles of parallel lines cut by a transversal are supplementary, so their measures have a sum of 180°.

2x - 5 + 45 = 180

2x + 40 = 180

2x = 140

x = 70

What is greater -3 pi or -9

Answers

-3 pi since it isn’t a big negative number going towards being positive witch is more higher
if -3 and pi are both connected, then the answer is -9 because -3x3.14 is about -9.425
if pi is a separate answer, then it is pi
hope this helps :)

Robbie factored the following expression incorrectly. Identify his mistake, then write a few sentences
explaining to him how to fix it.

Answers

Answer:

3(3r - 4)(3r + 4)

Step-by-step explanation:

I can't see the writing very clearly.

This is the correct solution:

27r^2 - 48                   Divide through by 3:

= 3(9r^2 - 16)               9r^2- 16 is the difference of 2 squares so:

= 3(3r - 4)(3r + 4)

I need help on this ASAP.

Answers

The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles

The circumference of the wheel

The diameter is given as:

d = 175 feet

The circumference (C) is calculated as:

C = πd

This gives

C = 3.14 * 175

C = 549.5 feet

Hence, the circumference of the wheel is 549.5 feet

The area of the wheel

This is calculated as:

A = π(d/2)^2

This gives

A = 3.14 * (175/2)^2

A = 24040.625

Hence, the area of the wheel is 24040.625 square feet

The central angle (degrees)

This is calculated as:

θ = 360/n

Where n is the number of capsules

So, we have:

θ = 360/42

This gives

θ = 8.57 degrees

Hence, the central angle of the wheel in degrees is 8.57

The central angle (radians)

This is calculated as:

Radians = Degrees × π/180

So, we have:

θ = 360/42 * π/180

This gives

θ = π/21 rad

Hence, the central angle of the wheel in radians is π/21 rad

Arc length between two capsules

This is calculated as:

L = θ * d/2

So, we have:

L = π/21 * 175/2

This gives

L = 175π/42

Hence, the arc length between two capsules is 175π/42

Area of sector between two capsules

This is calculated as:

A = 0.5 * (d/2)^2 * θ

So, we have:

A = 0.5 * (175/2)^2 * π/21

This gives

A = 168π

Hence, the area of sector between two capsules is 168π

Read more about sector areas and arc lengths at:

https://brainly.com/question/4115882

90 POINTS!! IM STUCK!!
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
(a) What output does the rule give when the input is -6,0 ? Show your work.
(b) What output does the rule give when the input is 3, -4 ? Show your work.
(c) Is the rule a function? Explain why it is or why it is not

Answers

Answer:

(x-3,y+4) is the rule

a. -6, 0 input. This would equal (-6)-3 for x and (0)+4 for y. Answer: -9, 4

b. 3, -4 input. This would equal (3)-4 for x and (-4)+4 for y. Answer: -1, 0

c. The rule is a function because each input only has one output

Answer:

Question

Alicia is writing the program for a video game.  For one part of the game she uses the rule (x, y) → (x - 3,y + 4) to move points on the screen.

(a)  What output does the rule give when the input is (-6, 0)?
Show your work.

(b)  What output does the rule give when the input is (3, -4)?
Show your work.

(c)  Is the rule a function? Explain why it is or why it is not.

Solution

(a)  Input (-6, 0) → Output (-6 - 3, 0 + 4) = (-9, 4)

(b)  Input (3, -4) → Output (3 - 3, -4 + 4) = (0, 0)

(c)  The rule is a one-to-one function as each value in the range (y-values) corresponds to exactly one value in the domain (x-values).

Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression​

Answers

Answer:

  3x +6

Step-by-step explanation:

The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.

An equivalent expression is ...

  3x +6

help pls i'm not good at math

Answers

Answer: x = 56

Step-by-step explanation:

The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:

[tex]z+124=180[/tex]

Subtract 124 on both sides to isolate the angle 'z' to get:

[tex]z=56[/tex]

Answer:

z=56 degrees

Step-by-step explanation:

in total the line will equal 180 so just do 180-124 and you get 56.

Is this right? Please help me!!

Answers

Answer:

Yes

Step-by-step explanation:

There are two green regions and two red regions which makes four regions in total. If there is an equal probability to land on each region, it means that the probability to land on a green region is 2/4 because there are two green regions out of the four total regions. You could also simplify it to 1/2.

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. P (n, 3). Point Q is graphed at (n, 2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of n? Explain how you determined the distance from point P to point Q, and the value of n. Enter your answers and your explanations in the space provided.

Answers

Answer:

1

Step-by-step explanation:

have you smiled today? its very important:)

Read the paragraph below. Which would be the most helpful peer review comment to make about the writer’s style?

Wolves are a familiar animal in stories and movies. They are usually the bad animal. Some people think wolves are dangerous to people. But is this the truth? Wolves eat sheep and people don’t like that because they’re raising the sheep for themselves and some wolves can even take down cattle. Wolves make scary howls that can frighten people. But a sound can’t hurt you!
“You use the word “wolf” a lot. Can you find a more interesting way to say “wolf”?”
“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”
“I like your sentences about wolves, especially the ones where you describe how scary they are.”
“It would help me follow your ideas more easily if you broke up some of the longer sentences.”

Answers

Answer:

“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”

Step-by-step explanation:

The Perimeter of Rhombus WXYZ is 240 cm and XY = 5k + 10
What is the value of'k?
w
х
A +
(B) 9
(С 10
[7 7
(D2
E 16
Z

Answers

It has to be b and c because it’s 9 and 10 and you have to add or subtract those numbers
Hope this helps
Have a good day!

What is the value of H in the original equation?

Answers

Answer:

49

Step-by-step explanation:

We need the square root of H to equal 7, so we can just square 7 to get the answer. So 7x7 = 49.

There are two taxi cab companies in Redwood. Their charges are listed below.

Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile

Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile

According to the graph below, for how many miles will the charges from both taxi cab companies be equal?

1. 8
2. 1
3. 7
4. 4

Answers

I think the answer would be a

Find the value of x.
103°
10x - 7)º
x = [?]°
Enter

Answers

Answer:

11º

Step-by-step explanation:

Because of vertical angles: 103=10x-7

103+7=10x

110=10x

x=11º

PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?

Answers

It’s 0.25 if it’s wrong then I’m also sorry

The table shows some ordered pairs that belong to project function H what is the range of H

PLEASE HELP ASAP WILL MARK BRAINIST ONLY IF YOUR RIGHT THOO

Answers

Last one , because you can see h go down until -5 then starts going up again for every x. Must be a parabola with vortex at y=-5.

Note down

If a pair be (x,y)

Then

x is domainy is range

Here the pairs are

(-6,43)(-5,22)(-4,7)(-3,-2)(-2,-5)(-1,-2)

Range:-

{-2,-5,-2,7,22,43}

Which congruence theorem can be used to prove WXZ ≈ YZX?



O AAS
O ASA
O SAS
O HL

Answers

Answer:

AAS

Step-by-step explanation:

angle w=angle y

angle z=angle x

wz=xy

X-2/x+3+10x/x^2-9

Simplify the sum

Answers

Answer:

(x+2)/(x−3)

Step-by-step explanation:

((x-2)/(x+3))+((10x)/(x+3)(x-3))

((x-2)(x-3)+10x)/(x+3)(x+3)

Brainliest if you can please

Pls help math will give brainlest

Answers

Answer:

Rectangular prism)1344

Rectangular pyramid)138.53

Cylinder)326.73

Cone)400.21

Triangular prism) I don't know the answer because I can't tell what sides the length is for

A right triangle is shown
5
x
9.1
Enter the value of x. Round your answer to the nearest hundredth

Answers

Answer:

10.38

Step-by-step explanation:

The graph of y= (x^3) +6
is translated 4 units to the right.
The translated graph has equation y=f(x).
Work out f(x).

Give your answer in the form
x^3 + ax^2 + bx + c
where a, b and c are integers.

Answers

Answer:

[tex]y=x^3-12x^2+48x-58[/tex]

Step-by-step explanation:

Transformation Rules

[tex]f(x+a)=f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a)=f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

Given equation: [tex]y=x^3+6[/tex]

If the graph of the equation is translated 4 units to the right, then we replace [tex]x[/tex] with [tex](x-4)[/tex]:

[tex]\implies y=(x-4)^3+6[/tex]

[tex]\implies y=(x-4)(x-4)(x-4)+6[/tex]

[tex]\implies y=(x-4)(x^2-8x+16)+6[/tex]

[tex]\implies y=x^3-8x^2+16x-4x^2+32x-64+6[/tex]

[tex]\implies y=x^3-12x^2+48x-58[/tex]

Answer:

f(x) = x³ - 12x² + 48x + 58

Step-by-step explanation:

Given

y = x³ + 6

Translating 4 units right

x → x - 4f(x) = (x - 4)³ + 6f(x) = x³ - 3(x)²(4) + 3(x)(4)² - (4)³ + 6f(x) = x³ - 12x² + 48x - 64 + 6f(x) = x³ - 12x² + 48x + 58

a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

Cost price for each Orange :

[tex]\qquad \tt \dashrightarrow \: \dfrac{60}{200} [/tex]

[tex]\qquad \tt \dashrightarrow \:0.3 \: \: kobo[/tex]

Now, Cost price for 8 oranges :

[tex]\qquad \tt \dashrightarrow \:0.3 \times 8[/tex]

[tex]\qquad \tt \dashrightarrow \:2.4 \: \: kobo[/tex]

And we have been given that selling price for 8 oranges is 12 kobo.

Therefore, the gain is :

[tex]\qquad \tt \dashrightarrow \:12 - 2.4[/tex]

[tex]\qquad \tt \dashrightarrow \:9.6 \: \: kobo[/tex]

Percentage gain is ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100[/tex]

[tex]\qquad \tt \dashrightarrow \:4 \times 100[/tex]

[tex]\qquad \tt \dashrightarrow \:400 \: \%[/tex]

Fractions of a revolution
It starts at 12 and turns through 1/3 of a revolution

Answers

Answer:

1/3 of twelve is 4 so four must be the answer

Step-by-step explanation:

he table shows the heights of students in a group.


Student Height (in inches)
A 45
B 48
C 49
D 40
E 53


What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches

Answers

Answer:

47 inches

Step-by-step explanation:

45 + 48 + 49 + 40 + 53 = 235

235/5 = 47

It would be 47 inches mean because you add them all together, and then divide it by the amount you had, which its five different numbers, so thats what you would use to divide. So all the numbers added up would be 235 and then divided by 5 is 47 .

Help I know that I have to move 3x to 4x with will be -3x and then I will subtract it then I will be left with -x and then I'll be with -x -3 what do I do after ?

4x -3 = 3x

Answers

Answer:

[tex]\sf \boxed{\bold{x = 3}}[/tex]

Explanation:

4x -3 = 3x

subtract both sides by 4x

4x - 3 -4x = 3x - 4x

group similar terms

4x - 4x - 3 = -x

simplify

-3 = -x

divide both sides by -1 or cancel out the negatives

x = 3

Check:

4(3) -3 = 3(3)12 - 3 = 99 = 9

L.H.S = R.H.S  Thus x = 3 confirmed

Answer:

x = 3

Step-by-step explanation:

We are trying to move all terms that have x on one side of the equal sign and terms that  do not have an x on the other side of equal sign.

terms with x = terms without x

            4x -3 = 3x , subtract 3x from both side of the equation

      4x -3x -3 = 3x -3x

      4x -3x -3 = 0 , add 3 to both sides of the equation

4x -3x -3 + 3 = 0 + 3

          4x -3x = 3 , combine like terms

                 x = 3

Or

We can think we move each term where we want it, yet keep in mind that once we cross the equal sign we change the sign of the term if addition or subtraction are the only operations involved.

4x -3 = 3x , 3x is positive so will become negative on the other side of the equal sign and -3 is negative so will become positive on the other side.

4x -3x = 3

        x = 3

Find all angles, 0º < 0 < 360°, that satisfy the equation below, to the nearest 10th
of a degree.
2 tan^2(theta)+ tan(theta)= 0

Answers

[tex]2tan^2(\theta )+tan(\theta )=0\implies tan(\theta )[2tan(\theta )+1)]=0 \\\\[-0.35em] ~\dotfill\\\\ tan(\theta)=0\implies \theta=tan^{-1}(0)\implies \theta= \begin{cases} 0\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2tan(\theta)+1=0\implies 2tan(\theta)=-1\implies tan(\theta)=-\cfrac{1}{2} \\\\\\ \theta=tan^{-1}\left( -\cfrac{1}{2} \right)\implies \theta \approx \begin{cases} \stackrel{180^o~~ - ~~26.57}{153.43^o}\\ \stackrel{360~~ - ~~26.57}{333.43^o} \end{cases}[/tex]

for the second pair of angles, the angle of reference is really about 26.57°.  Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.

Make sure your calculator is in Degree mode.

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