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Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

Correct Answer: 80%

Explanation:

circumference of A = 2 πr  = 8 => so r = 4 π
volume = π × 4 π 2 × 10  = 160 π
circumference of B =  2 πr    = 10 => so r =  5 π
volume = π × 5 π 2 × 8  =   200 π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.


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