Question

The radii of bases of a cylinder and a cone are in ratio 3:4 and their heights are in ratio 2:3. find the ratio of volume of cylinder to that of cone.

Answer 1

Let us denote the dimensions of cylinder in BLOCK letter and those of cone in small

We know,
R/r = 3/4
H/h = 2/3

We need to find 
The ratio of volumes =V/v 
⇒πR²H / [ (1/3) πr²h]
⇒(3) * 3 * 3 * 2 / 4 * 4 * *3
⇒ 9 / 8

Therefore, the ratio is 9 : 8

Answer 2

Let the radius of cylinder be R and the radius of cone be r and the height of cylinder of H and the height of cone be h.

A/Q- $\frac{H}{h}= \frac{2}{3}$
        $\frac{R}{r} = \frac{3}{4}$

Ratio of Volumes will be V/v.

$\pi R^{2}H / \frac{1}{3} \pi r^{2} h$
π will be cancel out.
(3×3)/(4×2)
9/3
9:8