Question

Diameter of two cylinders are in the ratio of 2:3.find the ratio of their height if ther volume is same

Answer 1

Answer:

Let their diameters be 2x and 3x respectively. Then, their volumes will be - (1) pi(d/2)*2h and

(2) pi(d/2)*2h respectively. Dividing them and putting d=2x and 3x respectively, we get

4x*2/4h = 9x*2/4h

4x*2h = 9x*2h

4h = 9h

Hence, h/h = 9/4

So, the ratio of their heights is 9:4