Question

choose the correct alternative and write its letter :

what is the ratio of volume of a cylinder and a cone having same radius and perpendicular height?

(A)1:2 (B)2:1 (C)1:3 (D)3:1​

Answer 1

Volume of the cylinder

$= 4\pi \: {r}^{2}$

Volume of the cone

$= \frac{4}{3} \pi \: {r}^{2} h$

Their ratio=

$= \frac{4\pi \: {r}^{2} h}{ \frac{4}{3} \pi \: {r}^{2} h} \\ = \frac{1}{3}$

Therefore ,ratio =1:3

The correct option is (C) 1:3.

Answer 2

Answer:

$\implies$ 1:3

$\large\underline\mathrm{Solution}$

Volume of the cylinder = 4πr²

Volume of the cone = 4/3πr²

Volume of the cylinder ÷ Volume of the cone

$\implies$ 4πr²/4/3πr²

$\implies$. 1/3

Thus, ratio = 1:3