SOLUTION: Please help with the homework below: 1.The tank has the following dimensions: Height of the tank is 85cm Width of the tank is 20cm Inside diameter is 160cm 1.1 Determ

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Question 1206987: Please help with the homework below:
1.The tank has the following dimensions:
Height of the tank is 85cm
Width of the tank is 20cm
Inside diameter is 160cm
1.1 Determine the outside diameter of the tank
1.2 Calculate the volume of the tank
1.3 Calculate the volume of the concrete wall
Found 2 solutions by MathLover1, Solver92311:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1.The tank has the following dimensions:
Height of the tank is+h=85cm
Width of the tank is w=20cm
Inside diameter is d%5Bi%5D=160cm

1.1 Determine the outside diameter of the tank
To find the outside diameter of the tank, add twice the width of the wall to the inside diameter:
Outside diameter d%5Bo%5D=160cm%2B2w=160cm%2B2%2A20cm=200cm

1.2 Calculate the volume of the tank
use the formula for the volume of a cylinder:
V=pi%28+r%5Bo%5D%29%5E2%2Ah..........r%5Bo%5D=d%5Bo%5D%2F2=200cm%2F2=100cm
​
V=pi%28+100cm%29%5E2%2A85cm

V=850000pi%2Acm%5E3

V=850000%2A3.14cm%5E3

V=2669000cm%5E3 =>the volume of the outside cylinder

1.3 Calculate the volume of the concrete wall (V%5Bcw%5D)

Calculate the volume of the concrete wall by subtracting the volume of the inside cylinder from the volume of the outside cylinder:

V%5Bcw%5D=V%5Boc%5D-V%5Bic%5D
the volume of the outside cylinder is V%5Boc%5D=2669000cm%5E3
d%5Bi%5D=160cm+=> r%5Bi%5D=80cm
V%5Bic%5D=pi%2880cm%29%5E2%2A85cm
V%5Bic%5D=544000%2Api%2Acm%5E3
V%5Bic%5D=1708160cm%5E3
V%5Bcw%5D=2669000cm%5E3-1708160cm%5E3
V%5Bcw%5D=960840cm%5E3


Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


The only way this makes any sense at all is if by "width," you mean the thickness of the wall of the tank.

That means the outside diameter is two thicknesses plus the inside diameter or 200 cm.

The volume of the inside of the tank is given by the volume of a cylinder with a radius of 80 cm and a height of either 85 cm or 65 cm if the tank has a top of the specified thickness or 45 cm if the tank has a top AND a bottom of the specified thickness. Once you decide the configuration of the top and/or bottom and therefore know the height of the inside of the tank, you can calculate the inside volume by:



where is the height you determined.

The outside volume of the entire tank is given by:



And the volume of the concrete wall is the difference between the outside and inside volumes.

All answers are rounded to the nearest whole cubic centimeter because the precision of your given measurements is to the nearest whole centimeter, and you should NEVER give an answer to a calculation involving measurements that is of greater precision than the least precise given measurement.

John

My calculator said it, I believe it, that settles it

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