Question

A

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 18 feet and a height of 16 feet. Container B
has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the
water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A, to the nearest tenth of a cubic foot?

Answer 1

`3,619.1` feet ³

Explanation:

r = Radius of cylinder

h = Height of cylinder

Container A

`r_(1) =(16)/(2) =8`

`h_(1) =18`

Container B

`r_(1) =(12)/(2) =6`

`h_(1)=20`

Volume of water in container A

`V_(1) =\pi r^(2) _(1) h_(1)`

⇒
`V_(1) =\pi *8^(2) *18`

⇒
`V_(1)` ≈
`3,619.1`

Since, container B is empty only the volume of container A will be present.

The volume of water in container B will be
`3,619.1` feet ³