Question

the ratio of height and radius of two cylinders are one is 1:2 and 2:1 find the ratio of their volumes

Answer 1

Let height of first cylinder be x

So, height of second cylinder would be 2x (According to the ratios)

Let radius of first cylinder be 2r
So radius of second cylinder would be r (according to ratio)


=> Volume of first cylinder = π(2r)²x

=> Volume of first cylinder = π4r²x

=> Volume of first cylinder = 4πr²x

And volume of second cylinder = πr²2x

=> Volume of second cylinder = 2πr²x

So, ratio of their volumes
$\frac{4\pi {r}^{2}x }{2\pi {r}^{2}x } \\ \\ = > \frac{2}{1}$

= 2 : 1


Answer :- 2 : 1