Question

A cylinder and cone have bases of equal radii and are of equal heights . Show that the volumes are in the ratio of 3:1​

Answer 1

Answer:

Their radius are equal so

let the radius be 'r'

Step-by-step explanation:

volume of cylinder=πr^2h

volume of the cone=1/3πr^2h

both radius is r.

both height is h.

now lets divide the volumes

πr^2h/1/3πr^2h

π,r^2,h will be cancelled. so

1/1/3

[3 goes up]

so

3/1=3:1

therefore,volume of both cylinder and cone is

3:1