Question

If the base radius of 2 cylinders are in the ratio 3 : 4 and
their heights are in the ratio 4:9, then the ratio of their
volumes is:
(a) 2:1
(b) 1:4
(C) 1:2
(d) 4:1
​

Answer 1

Step-by-step explanation:

Let the base radius of two cylinders be 3x and 4x.

And the heights of two cylinders be 4y and 9y.

The ratio of their volumes =

$= \frac{\pi {r}^{2} h}{\pi {r}^{2} h}$

$= \frac{\pi \times ( {3x)}^{2} \times 4y }{\pi \times ( {4x)}^{2} \times 9y}$

$= \frac{9 {x}^{2} \times 4y}{16 {x}^{2} \times 9y }$

$= \frac{1}{4}$

= 1 : 4.

Answer :- The ratio of the volumes of two cylinders are 1 : 4.