A cylindrical tank whose diameter and height are 2.1m and 4m respectively is filled with water whose density is 1g/cm^3.calculate the mass of the water in kg.​

Answers

Answer 1

Step-by-step explanation:

I assume it means the task is filled completely.

diameter = 2.1 m

therefore, radius = diameter/2 = 2.1/2 = 1.05 m

height = 4 m

volume of a cylinder is

ground area × height, so

pi×r² × height = pi×1.05²×4 = 13.8544236... m³

1 cm³ is 1g

for 1 kg (remember, "k" stands for "kilo" and means 1000) we need therefore 1000 cm³ (which is a cube of 10 cm side length).

how many cm³ are in 13.8544236... m³ ?

1 m = 100 cm

1 m² = 1 m × 1 m = 100×100 = 10,000 cm²

1 m³ = 1 m × 1 m × 1 m = 100×100×100 = 1,000,000 cm³

that means a factor of 1,000,000 !

so, the volume of the cylinder is

13.8544236... × 1,000,000 = 13,854,423.6... cm³

to get the mass of kg of that much water we need now to divide by 1000 :

13,854,423.6... / 1000 = 13,854.4236... kg

which is, by the way, 13.8544236... tons.

yes, 1 m³ of water is 1 ton ...

I don't know, if you need to round the result.

if you e.g. only need full kg, then the answer would be

13,854 kg.


Related Questions

The number of shoes a cobbler (shoemaker) can make varies directly with the amount of time the cobbler spends making the shoes.


If the cobbler can make 3 pairs of shoes in two hours, how would you write this equation?


Group of answer choices


y=3x


y=4x


y=2x


y=1. 5x

Answers

The pairs of shoes increases as the time the cobbler works increases

The equation of the pairs of shoes is y = kx

How to determine the equation?

The variation is a direct variation.

So, we  have:

y = kx

Where:

y represents the number of shoesx represents the time in hoursk represents the proportionality constant

The cobbler can make 3 pairs of shoes in two hours,

So, we have:

k = 3/2

k = 1.5

Substitute k = 1.5 in y = kx

y = 1.5x

Hence, the equation of the scenario is y = kx

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When finding the area of a circle we use the formula \large \pi r^2
true or false

Answers

Answer:

a=pir^2

you times pi with the radius squared and that is your area

Please help me!!!!! 30 points

Answers

Answer:

The answer to the question in the first picture is the first one, "The thirty students studies for the test; only eight students got As."

I had a difficult time deciding whether the answer to the question in the second picture is the fourth one, "Her philosophy is that respect should not be given; it should be earned." or the first one, "Her philosophy is that respect should not be given, it should be earned." but I'm pretty sure that it is the fourth one. (I'm so sorry if it's wrong!)

The answer to the question in the third picture is the third one, "The new school will have many features: a huge gym, several science labs, and am extensive library."

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

(also, I'm really sorry if the answer for the second question is wrong)

[tex]\frac{n! + (n+1)!}{n!}[/tex]

Answers

Answer:

zero or may be infinite bro

Mataeo earns $0.76 per item produced. This week, he produced 360 items. What was his total pay?

Answers

Answer:

273.6

Step-by-step explanation:

[tex]0.76\times 360[/tex]

______________________________________

Calculate

[tex]0.76\times 360[/tex]

______________________________________

Calculate the product or quotient

[tex]273.6[/tex]

I hope this helps you

:)

Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17. Find the rental cost for each movie and each video game.

Answers

Answer:

Let x = the price of movies and let y = the price of video games

8x + 3y = 43

2x + 5y = 32

Use the Elimination Method by multiplying both sides of the second equation by 4

8x + 3y = 43

-(8x + 20y = 128)

-17y = -85

y = 5

2x + 5(5) = 32

2x + 25 = 32

2x = 7

x = 7/2 = 3.5

Movies cost $3.50 and video games cost $5

Step-by-step explanation:

pls mark me brainlest

How to get rid of a square root in the denominator?.

Answers

Answer:

see explanation

Step-by-step explanation:

to clear a square root on the denominator

Multiply the numerator and denominator by the square root, for example

[tex]\frac{5}{\sqrt{3} }[/tex]

= [tex]\frac{5}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{5\sqrt{3} }{3}[/tex]

A plane intersecting a double-napped cone is parallel to the generator. which conic section is formed? circle ellipse hyperbola parabola

Answers

Answer:

  (d)  parabola

Step-by-step explanation:

The attached diagram shows some of the curves that result from a plane intersecting one nap of a double-napped cone.

__

When the plane is parallel to the generator, a parabola is the curve of intersection. When the plane intersects both naps of the cone, the resulting set of curves is a hyperbola (not shown here).

The greatest common factor of 24 and 9 is

Answers

Answer:

3

Step-by-step explanation:

add 4 to 7, then multiply 5 by the result??

Answers

Answer:

Step-by-step explanation:the second one

The answer has to be 5*(7+4)

An angle measures 40.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

the measures of an angle would be 49.2 degrees

Step-by-step explanation:

hope this helps

so so so sorry if this answer is wrong

pls mark brainliest

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)

Answers

An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be done in the following manner.

2x+3y=6

3x+5y=10

Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,

[tex]2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}[/tex]

Now, substitute the value of x in the second equation,

[tex]3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2[/tex]

Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.

[tex]2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0[/tex]

Hence, the ordered pair which is the solution of the system of linear equations is (0,2).

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George is constructing the circumscribed circle for △RST. He has already used his compass to complete the part of the construction shown in the figure.



Which construction could be his next step?

Construct the line through points A and T and a second line through points B and S.

Construct the line through points A and C and a second line through points B and D.

Construct the line through points A and B and a second line through points C and D.

Construct the line through points A and D and a second line through points B and C.

Answers

Answer:

Construct the line through points A and B and a second line through points C and D.

Step-by-step explanation:

This is straight from the test. :)

Answer:

c just took test

Step-by-step explanation:

Find x of the shape in picture
show all work please

Answers

Answer:

105 degrees

Step-by-step explanation:

The sum of any quadrilateral is 360 degrees. So, in order to find x, you have to subtract all the given sides from 360.

360-100-95-60=105

Hope this helps! Pls give brainliest!

Write an equation in slope-intercept form for the line with slope -4 and y-intercept 7

Answers

Answer:

y = -4x + 7

Step-by-step explanation:

slope-intercept form of a linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

Given:

m = -4y = 7

⇒ y = -4x + 7

Complete the table of successive approximation to find the x-value of the solution of f(x)=g(x) to the nearest hundredth f(x)= x^2-2 g(x) = x-1

Answers

The solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62

How to find the solution to a given set of function?

Given the following function below:

f(x) = x^2 - 2
g(x) = x - 1

Since f(x) = g(x), hence;

x^2 - 2 = x - 1
x^2 - x - 1 = 0

Factorize to have:

x = 1/2 +√5/2  or x= 1/2 - √5/2

x = 1.62 or -0.62

Hence the solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62

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PLEASEEEEE SOMEBODY HELP NOW QUICK PLEASEEE


A spinner is split into 8 equal sections. Three sections are purple, 3 sections are silver and 2 sections are white. If you spin the

spinner 240 times, how many times can you expect to land on a silver section?


a. 3

b. 37. 5

c. 90

d. 120

Answers

Answer:

c

Step-by-step explanation:

becasue it would have a 3/8 chance of landing on silver , 8 goes into 240 30 times. so if we multiply 3 by 30 it gives us 90.

What is the area of the triangle?

Answers

Answer:

12 inches squared :)

Step-by-step explanation:

Area of triangle: hxb/2

Now lets solve!!

4(6)/2

24/2

12

Have an amazing day!!

Please rate and mark brainliest!!

12 inches (squared)

Heightxbase 1/2 is the formula of finding the area of a triangle

Hope this was helpful:)

A vender bought an earphone for $1378 and she sold it in order to make a profit of 17. 5% calculate the profit made in cash and the selling price

Answers

The profit he made from selling his hearing aids at a profit of 17% is $234.26.

How to calculate the profit obtained?

To calculate the profit obtained, we must calculate how much money is equal to 17% of $1,378.

$1,378 ÷ 100 = $13.78$13.78 × 17 = $234.26

Based on the above, 17% of $1,378 equals $234.26. On the other hand, to calculate the final sale price of the earphone, we add the initial value plus the value of the profit.

$1,378 + $234.26 = $1,612.26

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Click all that are yes

Answers

Answer:

Step-by-step explanation:

HELP!!
Who had the highest mean score? Justify your answer using mathematical reasoning.

Answers

Answer:

Katie had the highest mean score.

Step-by-step explanation:

Katie had the highest mean score because her mean score was 81.4, and Annie's highest mean score was 72.4.

Answer: Katie

Step-by-step explanation: In six of out 7 times Katie had higher marks.

Annie mean is 72.42

Katie's mean is 81.42

PLEASE HELP ME AGAIN (surface area)

Answers

Answer:

189

Step-by-step explanation:

9 x 9 is 81 for the square. for the triangles it is 9 x 6 divided by 2 which is 24. for all 4 we do 24 x 4 which gets 108. 108 + 81 = 189

76. In five successive hours, a car travels 40 km, 45
km, 50 km, 35 km and 55 km. In the next five
hours, it travels with an average speed of 50 km
per hour. Find the total distance the car traveled
in 10 hours.
a. 425 km
b. 450 km
c. 475 km
d. 500 km

Answers

C or b I think is the answer

Answer:

C

Step-by-step explanation:

C because 475 is equal to an x value of the year axis of the plate in hours

I NEED HELP!
[tex]-38x+43=-40x-57[/tex]

Answers

[tex]x = - 50[/tex]

-38×+43=-40×-57

-38×+43+40=-57

-38×+40×=-57-43

2×=-57+43

2×=-100

×=-50

I do not know if it's right

Given equation,

[tex] \\ \dashrightarrow \sf \qquad-38x+43=-40x-57 \\ \\ [/tex]

Adding 40x to both sides :

[tex] \\ { \dashrightarrow \sf \qquad-38x+43 + 40x=-40x-57 + 40x} \\ \\ [/tex]

[tex] { \dashrightarrow \sf \qquad2x+43=-57} \\ \\ [/tex]

Adding (-43) to both sides we get :

[tex] \\ { \dashrightarrow \sf \qquad2x+43 + ( - 43)=-57 + (- 43)} \\ \\ [/tex]

[tex] { \dashrightarrow \sf \qquad2x= - 100} \\ \\ [/tex]

Dividing 2 from both sides :

[tex] \\ { \dashrightarrow \sf \qquad \frac{2x}{2} = - \frac{100}{2} } \\ \\ [/tex]

[tex] { \dashrightarrow \tt \qquad \: x=-50} \\ \\ [/tex]

The mean of a set of data is 12367. The mean of absolute deviation is 350. Select the numbers below that are within the mean absolute deviation. A. 12,116 B.12,001, C. 12,990, D. 12,705, E. 12720.

Answers

The numbers given below that fall within the mean absolute deviation of the data are: C. 12,990, D. 12,705, E. 12720.

What is the Mean Absolute Deviation?

The mean absolute deviation is simply the average of the distance of each of the data points there are in a data distribution.

The difference of each data point from the mean is most likely within the same range with the mean absolute vallue.

If we subtract 12,990, 12,705, and 12720 from the mean of the data, 12,367, we would get a figure close to the mean absolute deviation, 350.

So the numbers that are within the mean absolute deviation are, C. 12,990, D. 12,705, E. 12720.

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Does anyone know the answer to this?? PLS HELPPP, only answer if you know!

Answers

⚠ANSWER⚠

C and D are the two square matrices

C + D

then the answer is A

...Hope this helps...

What is the product? (negative 3 s 2 t)(4 s minus t) negative 12 s squared minus 2 t squared negative 12 s squared 2 t squared negative 12 s squared 8 s t minus 2 t squared negative 12 s squared 11 s t minus 2 t squared

Answers

The product of the expression (-3s + 2t) and (4s - t) is -12s² + 11st -2t². Then the correct option is D.

What is a product?

It is also known as multiplication. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(-3s + 2t) and (4s - t)

Then the product of the expression (-3s + 2t) and (4s - t) is given as

(-3s + 2t)(4s - t)

-12s² +3st + 8st - 2t²

-12s² + 11st -2t²

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A fireman leans a ladder against a building. The base of the ladder is 5 feet from the building. The ladder is 13 feet long. How far up the side of the building is the top of the ladder?

Answers

12 ft

Using 13 for c, and 5 for a, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height

5^2+b^2=13^2

25+b^2=169

b^2=144

b = 12

A 2-column table with 6 rows. The first column is labeled x with entries 2.2, 12.7, 45.2, 76, 113.9, 124.5. The second column is labeled y with entries 0, 1.25, 2.5, 3.4, 5.2, 5.7. A graph shows the horizontal axis numbered 20 to 140 and the vertical axis numbered 2 to 8. A line increases from 0 to 140.
The data set shown represents the total fee for miles traveled on a toll road. Use the information to complete the statements.

There are
observed toll fee values.

It costs $
to travel 76 miles.

The predicted value for traveling 30 miles is $

Answers

Sorry for the late answers, but the answers are...

6

3.40

1.61

I know this because I had this problem and I got it correct. The screenshot attached is proof that the answers are correct

Answer:

There are 6 observed toll fee values.

It costs 3.40 to travel 76 miles.

The predicted value for traveling 30 miles is 1.61

Step-by-step explanation:

If you spin the spinner 8 times, what is the best prediction possible for the number of times it
will land on blue?

Answers

it would most likely land on blue three times
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