Question

The ratio between the volumes of a sphere and a cylinder, if in the cylinder, height is equal to the radius of base and radii of both sphere and cylinder are equal is …………

A) 3 : 1 

B) 1 : 3 

C) 3 : 4 

D) 4 : 3

Answer 1

Correct option is: D) 4 : 3

In cylinder, h = r

\(\frac {V_1}{V_2} \) = \(\frac {volume\, of\, sphere}{volume \,of \,cylinder } = \frac {\frac 43 \pi r^3}{\pi r^2h}\) 

= \(\frac {4r}{3h} = \frac {4r}{3r} = \frac 43\) (\(\because\) h = r)

Hence, the ratio of their volumes is 4 : 3

Answer 2

Correct option is: D) 4 : 3