Question

If radii of two cylinders are in ratio 4:3 and their heights are in the ratio 5:6, find the ratio of their volume

Answer 1

Answer:

40:27

Step-by-step explanation:

Let the radii of two cylinders be 4x and 3x    [ Ratio is 4:3]

Let the heights o of two cylinders be 5y and 6y  [Ration is 5:6]

We know that volume of cylinder = π(radius)²×Height

Volume of first cylinder = π(4x)²(5y)

Volume of second cylinder = π(3x)²(6y)

Ratio of volume of both cylinders = [π(4x)²(5y)] / [ π(3x)²(6y)]

                                     = 40/27 or 40:27