Multiple choice

A cylindrical tank of height 25 inches and radius 2 inches has kerosene up to 75% of the tank's total capacity. If the same kerosene is poured in the another cylindrical tank, it occupies 50% of its volume, provided there is no spillage. Find the ratio of the capacity of the first tank to that of the second tank.

  1. 1 : 2

  2. 2 : 3

  3. 3 : 4

  4. 3 : 5

  5. 4 : 5
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B Correct answer
Explanation

Let V1 be the volume of the first tank and V2 be the volume of the second. Kerosene in first tank = 0.75 * V1. This equals 0.50 * V2. Thus, V1 / V2 = 0.50 / 0.75 = 2/3.

AI explanation

Let the capacity of the first tank be V1 and the capacity of the second tank be V2. The volume of kerosene is 75 percent of V1, which equals 50 percent of V2, meaning 0.75 times V1 equals 0.50 times V2. This simplifies to V1 divided by V2 equals 0.50 divided by 0.75, which is 2 divided by 3. The ratio of their capacities is 2 : 3.

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