Question

The radii of two right circular cylinders are in the ratio 2:3. find the ratio of their volumes

if the heights are in the ratio 5:3.​

Answer 1

Answer:

Step-by-step explanation:

let R1, H1 and V1 be the radius, height and volume of the first cylinder

let R2, H2 and V2 be the radius, height and volume of the second cylinder

ratio of radii = 2:3

ratio of heights = 5:3

so ratio of volumes = (pi x R1 x R1 x H1) / (pi x R2 x R2 x H2)

[ pi will get canceled from both numerator and denominator)

= (2x2x5) / (3x3x3)

= 20 / 27

or V1:V2 = 20:27

therefore, ratio in their volumes = 20:27