Question

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a

diameter of 8 feet and a height of 11 feet. Container B has a diameter of 6 feet and a height of 18 feet.
Container A is full of water and the water is pumped into Container B until Container 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

The volume of the empty space inside Container A is approximately 298.5 cubic feet (rounded to the nearest tenth).

The volume V of a cylinder is given by the formula
`\(V = \pi r^2 h\)`

For Container A:

`\[ V_A = \pi * (4^2) * 11 \]`

For Container B:

`\[ V_B = \pi * (3^2) * 18 \]`

Now, calculate the volumes:

`\[ V_A \approx 452.38934 \text{ cubic feet} \]`

`\[ V_B \approx 153.93804 \text{ cubic feet} \]`

The empty space inside Container A is then the difference:

Empty space} =
`V_A - V_B`

Empty space
`\approx 452.38934 - 153.93804`

Empty space
`\approx 298.4513` cubic feet

So, the volume of the empty space inside Container A is approximately 298.5 cubic feet (rounded to the nearest tenth).