Suppose that a cylinder has a radius of r​ units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 882 π square units. Find the value of r.

Answers

Answer 1

Answer:

21 units²

Step-by-step explanation:

the area of a circle is

pi×r²

the lateral area of a cylinder is the area only if the "mantle" of the cylinder : the round area all around the cylinder in its side.

in other words : everything but the ground and the top area.

how can we get the area of the side "mantle" ?

we can imagine, we take a knife and cut a straight line (and at 90°) from the top to the bottom, and then cut off the ground and the top circles by cutting along their circumference.

what do we get ?

if we put that remaining area in the table and press it flat, it is ... a rectangle. simply a rectangle.

its width is the height of the cylinder (the length of our initial top-bottom cut).

and its length is the length of the circle circumference that e just cut off.

and the circumference of a circle is

2×pi×r

so, the lateral area of the cylinder is

2×pi×r × h

r being the radius

h being the height of the cylinder.

and we get

LA = 2×pi×r×r = 882×pi

pi × r² = 441 × pi

r² = 441

r = 21 units²


Related Questions

HELP PLS PLS PLS PLS PLS z

Answers

Answer:

126

Step-by-step explanation:

I got a protracter

Given:
UE
1 3 -5
2 14 11
-8 0 5
VE
13 -1 -77
-6 1 19
0 15 23
Solve:
X+U= V
X=

Answers

Step-by-step explanation:

Please i don't understand your question.

Answer:

X = [tex]\left[\begin{array}{ccc}12&-4&-2\\-8&-13&8\\8&15&18\end{array}\right][/tex]

Step-by-step explanation:

Just did it on edge

( the question is:

Given:

U = [tex]\left[\begin{array}{ccc}1&3&-5\\2&14&11\\-8&0&5\end{array}\right][/tex]

V = [tex]\left[\begin{array}{ccc}13&-1&-7\\-6&1&19\\0&15&23\end{array}\right][/tex]

Solve: X + U = V
)

You bought lunch for you and your friend. Lunch came to $22.45 and the sales tax
rate was 9.5%. What is the sales tax amount? (Show your work)

Answers

Step-by-step explanation:

⇢ [tex] \sf 22.45 × \frac{9.5}{100} [/tex]

⇢ [tex] \sf \bold{22.45} × 0.095 [/tex]

⇢ 2.13275

⇢2.1 (1 dp)

[tex] \therefore [/tex] Sales tax = $2.1

divide 2/3 by 1/5 into mixed nuber

Answers

Answer:

3 and 1/3 is your answer: aka 10/3

Step-by-step explanation:

hope this helps

What is the value of the expression below? 7 - 4+5
A. 14
B. 40
C. 50
D. 15​

Answers

Answer:

50

Step-by-step explanation:

First we Calculate what [tex]7^{2}[/tex] is equvalet to:

7 * 7 to solve and get 49

Our equation then becomes:

49 - 4 + 5

Next, subtract left to right:

49 - 4 = 45

Now we get:

45 + 5 = 50 (our answer)

In a random sample of 60 students in first grade, the mean hours of sleep per night was 9.6 with a
standard deviation of 0.51. In a random sample of 40 students in 12th grade, the mean hours of sleep per
night was 7.2 with a standard deviation of 0.62.
Which interval is a 99% confidence interval for the difference between the mean hours of sleep?
O (2.36 h, 2. 44 h)
O (2. 19 h, 2.61 h)
O (2. 10 h, 2. 70 h)
O (2.29 h, 2.51 h)

Answers

Answer:

c is your answer

Step-by-step explanation:


b. Lisa has 120 sweets. She gives 2 of them to
her brother. How many sweets does Lisa have left

Answers

Answer:

118

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

120-2=118

118 sweets left!

Solve for d.
Give an exact answer.
0.5(7d+4)=7-1.5d
D=

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
d=1

Eva deposited $50 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 2 years?

Answers

$ 9
Step-by-step explanation:
Simple Interest = P.R.T / 100
P= Principal (Amount invested) =$30
R= Rate= 10%
T= Time = 3 years
Therefore, Simple Interest (1):
I = PRT/100
1 = ($30 * 10 * 3 ) / 100
I = $900 / 100
1 = $9
She will have a total of $9 in three years

Nathan sold 120 shares of Mowery, Inc., at $95 per share and paid a commission of $9. What were his proceeds?

Answers

Answer:

I think its $11409

Step-by-step explanation:

maybe not but please trust me

Find the value of the figure on the left.

Answers

Answer:

The volume is 630

Step-by-step explanation:

Forula for volume

L x W x H = V

L = lenth

W = width

H = hight

V = volume

Lets plug in our numbers

15 x 7 x 6 = V

15 x 7 = 105

105 x 6 = 630

V = 630

Help I don’t get it at all

Answers

Answer:

The answer is B.

Step-by-step explanation:

There is one shaded part out of four parts. This means that the shaded part takes up one-fourth of the overall box, or 1/4. To convert fractions to decimal, you need the denominator to be 100: therefore you multiply 25 to the numerator and denominator: 25/100. This is equal to 0.25 or 25%. The answer is B.

Answer:

B.

Step-by-step explanation:

¼ = 1÷4=0.25

0.25×100=25%


Last summer, Maya was a lifeguard at the Ginger Hill community pool. She checked the
temperature of the pool each morning. This box plot shows the results.
Pool temperature (°F)
HHH
76
78
80
82
84
86
What percent of the mornings was the pool temperature 80°F or higher?
I %
Submit

Answers

Answer:

50

Step-by-step explanation:

half of 100 is 50 and i just did it so

The percentage of the mornings that the pool has a temperature of 80°F or higher is 50%.

What percent of the mornings was the pool temperature 80°F or higher?

A box plot is used to study the distribution and level of a set of scores. The line in the middle of the box on the box plot is the median. Median is the number at the center of the dataset. It represents 50% of the score.

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ2

Help picture below problem 10

Answers

Answer:

your answer is none of the above

Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer. x(s, t) = y(s, t) = , and z(s, t) = , where |

Answers

Answer:

Step-by-step explanation:

In general (x, y, z) = (p ·cos s ·sin t, p· sin s· sin t, p · cos t) where p is radius

x(s, t)= 3 ·cos s ·sin t

y(s, t)= 3· sin s· sin t

z(s, t) = 3· cos t

Where, radius is 3, s ∈ [0,2π), and t ∈ [0, π]

Please answer fast, ive been asking for weeks

Answers

Answer:

6cm

Step-by-step explanation:

Here, base=10cm

Length=7cm

A=70 cm2

(Do same to other sides rect.)

A=42 cm2

A= 56 cm2

A of triangle=24*2(2 triangle)( UseHerons formula)

=48 cm2

adding all A=216 cm2

Area of cube=6l2

216=6l2

simplify

l=6cm

Mandy charges all of her customers by weight so she gets $5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Mandy is going to sell over 100 kilograms of corn cobs today, what is the best profit per corn cob she can make?

Answers

Answer:

$5

Step-by-step explanation:

Because everyone want to be rich!

The scale on a drawing reads 1/16^ prime prime =1^ prime .A2 inch long line represents

A. 8 feet
B. 16 feet
C. 32 feet
D. 64 feet

Answers

So

1 in line represents 16ft i e 2^4 ft

Hence

2in line represents

2(2^4)2(16)32ft

Describe the transformations from the parent function f(x)=x^2 to the function g(x+2)^2+5
2 units to the right, 5 units up
2 units down, 5 units to the left
2 units down, 5 units to the right
2 units to the left, 5 units up

Answers

Answer: 2 units to the right, 5 units up

Step-by-step explanation:

represent the depth of a diver under water as
he swims to the surface. At what depth did
the diver begin swimming to the surface?

Answers

y = 6x + 30

To find x, substitute y = 0

Therefore,

0 = 6x + 30

-30 = 6x

x = -5

-5 is the depth

A classmate states that if the radius of a circle is doubled, then its area is doubled. Do you agree or disagree? If you disagree how much larger do you think the area will be?

Answers

I did agree because if the radius is doubled the area will be quadrupled and the circumference would also then be doubled.

what is the 25% of 52

Answers

13 is your answer my friend!

A 9-foot roll of waxed paper costs $3.69. What is the price per yard?

Answers

Answer:

11.07

Step-by-step explanation:

a yard is three times a foot so 3×3.69 is the answer

I didn't read it right, ignore me


Which will have a negative number?
A)
(-3)(-9)
B
(-6) (4)
-4-5
D)
-7-9

Answers

Answer:

[B] (-6)(4)

[C] -4 -5

[D] - 7 -9

Step-by-step explanation:

Note that: {Only with ()}

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Positive = Positive

Hence,

[A] (-3)(-9) =27  Negative + Negative = Positive

[B] (-6)(4) = -24 Negative + Positive = Negative

[C] -4-5  = -9

[D] -7-9  = -16

Thus, the answer is

[B] (-6)(4)

[C] -4 -5

[D] - 7 -9

[RevyBreeze]

Answer:

All of them except A.

Step-by-step explanation:

A = -3 * -9 = 27.

product of 2 negatives is a positive.

B: (-5*4 = -24

C: -4-5 -9

D. -7-9 = -16

Use the graph that shows the number of laps completed over time. Find the slope of the line.​

Answers

By using the given graph, we will see that the slope of the linear equation is:

a = 0.5 laps per minute.

How to find the slope of the line?

For a linear equation:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁).

So we need to look at the graph and identify two points, we will use:

(10 min, 5) and (20 min, 10)

So the slope is:

a = (10 - 5)/(20 min - 10 min) = 0.5 laps per minute.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Why does the graph on the left stay in the asymptotes while the one of the left doesn't. The graph on the left does approach the the asymptotes, but never touches, but that isn't the answer my teacher is looking for.

Answers

Cuz the slope rolls to tha right not the left uneven numbers

irections: Drag each event to the correct location in the sentences.
in experiment consists of randomly drawing one tile from a bag of colored tiles. The bag has 7 white tiles, 12 black tiles, 22 red
des, and 3 blue tiles.
Find the probability of each event, and then create true statements by placing the events in the sentences.

Answers

Answer:

Blue tile is an event that is unlikely to occur

White tile is an event that is neither unlikely nor likely to occur

Black tile is an event that is likely to occur

Red tile is an event that is most likely to occur

Step-by-step explanation:

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New York and 3 intermediate stops on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

5

7

8

Answers

Stops means height is 0 then

So

Total stops while NY=2Total stops while Chicago=3

Total stops on both:-

2+35

The graph will reach horizontal axis 5times

⭐ Question 4(challenging)
What is...
Square root of 61 plus [tex]\pi[/tex] times six to the power of ten

Answers

Answer:

189960102.12251

Step-by-step explanation:

[tex]\sqrt{61}+\pi 6^{10}=\sqrt{61}+60466176\pi[/tex]

189960102.122517 hope this helps

Help Me on this!!

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]


Answers

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

Here's the solution :

9. Statement : [tex] \tt{VB\:\: bisects\;\; \angle EVO}[/tex]

Reason : [tex]\tt Given [/tex]

10. Statement :[tex]\tt \angle3 \cong \angle 4[/tex]

Reason : [tex] \tt Definition \;\; of \;\; angle \;\; bisector[/tex]

11. Statement [tex] \tt{VB\:\: bisects\;\; \angle EBO}[/tex]

Reason : [tex]\tt Given [/tex]

12. Statement :[tex]\tt \angle1 \cong \angle 2[/tex]

Reason : [tex] \tt Definition \;\; of \;\; angle \;\; bisector[/tex]

13. Statement : [tex] \tt \overline{BV }\cong \overline{BV}[/tex]

Reason : [tex] \tt Common\:\: side [/tex]

14. Statement : [tex] \tt \triangle \:BEV \cong \triangle \:BOV [/tex]

Reason : [tex] \tt ASA \:\: postulate [/tex]

15. Statement : [tex]\tt \angle E \cong \angle O[/tex]

Reason : [tex] \tt Corresponding\;\;parts\:\: of\:\: Congruent \;\;Triangles [/tex]
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