Question

Two containers designed to hold water are side by side, both in the shape of a

cylinder. Container A has a radius of 7 feet and a height of 11 feet. Container B has a
radius of 6 feet and a height of 16 feet. Container A is full of water and the water is
pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the
nearest tenth of a cubic foot?



please help!!

Answer 1

1693.3 ft³

Explanation:

The volume of a cylinder is given by; V = πr²h

For container A;

we are given;

Radius;r = 7ft

Height; h = 11 ft

Thus; Volume of container A = π•(7²)•11 = 1693.318 ft³

Similarly,

For container A;

we are given;

Radius;r = 6 ft

Height; h = 16 ft

Thus; Volume of container B = π•(6²)•16 = 1809.557 ft³

Now, since container A was full of water and all of it was pumped into container B, thus, the volume of the water in container B = Volume of container A = 1693.318 ft³

Approximating to the nearest tenth of cubic ft = 1693.3 ft³