Question

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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 9 feet. Container B has
a diameter of 10 feet and a height of 17 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 water remaining in Container A,
to the nearest tenth of a cubic foot?

Answer 1

955.0 ft³

Explanation:

You want to know the volume of water remaining in full cylinder A with diameter 18 ft and height 9 ft if it is pumped into empty cylinder B with diameter 10 ft and height 17 ft until B is full.

Volume of a cylinder

The volume of a cylinder is given by the formula ...

V = (π/4)d²h

For cylinder A, the volume is ...

V = (π/4)(18 ft)²(9 ft) = 729π ft³ ≈ 2290.2 ft³

For cylinder B, the volume is ...

V = (π/4)(10 ft)²(17 ft) = 425π ft³ ≈ 1335.2 ft³

Remaining

The amount of water remaining in A will be the difference between its volume and the volume of B:

2290.2 ft³ -1335.2 ft³ = 955.0 ft³

There will be 955.0 ft³ of water remaining in container A.

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