Question

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

cylinder. Container A has a radius of 12 feet and a height of 15 feet. Container B has a
radius of 8 feet and a height of 17 feet. Container A is full of water and the water is
pumped into Container B until Containter B is completely full.
To the nearest tenth, what is the percent of Container A that is full after the pumping
is complete?
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A
Container B

Answer 1

49.6% of container A is still full

Explanation:

volume of a cylinder : pi×r²×h

Va = pi × 12² × 15 = pi×144×15 = 6785.84013... ft³

Vb = pi × 8² × 17 = pi×64×17 = 3418.05281... ft³

how much of A is still filled, when B has been completely filled ?

Va left = Va - Vb = 3367.78732... ft³

100% of Va = 6785.84013... ft³

1% of Va = 67.8584013... ft³

so, how often does 1% of Va fit into the remaining filing volume of A (Va left) ?

3367.78732... / 67.8584013... = 49.6(2962963...)%