Question

He radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3, find the ratio of their volumes.

Answer 1

Answer:

the ratio of the volume of two cylinders is  $\frac{20}{27}$

Step-by-step explanation:

let the radii of the first  cylinder (r) be 2 and

the radii of second cylinder (R) be 3

and the heights  of the first cylinder (h) be  5

heights  of the second  cylinder (H) be  3

using the formulae

volume of cylinder = $\frac{1}{3}$$\pi$$r$²h

the ratio of the volume of two cylinders = r²h/R²H

putting the values

ratio of volume = (2)² 5/(3)²3   = $\frac{4*5}{9*3}$

ratio of volume of two cylinders= $\frac{20}{27}$