Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

If two cylinders of equal volumes have their heights in the ratio 2 : 3, then the ratio if their radii is :

a) $$\sqrt 6 :\sqrt 3 $$
b) $$\sqrt 5 :\sqrt 3 $$
c) $$2 : 3 $$
d) $$\sqrt 3 :\sqrt 2 $$

Answer: d
Explanation: Let their heights be 2h and 3h and radii be r and R respectively
$$\eqalign{ & \pi {r^2}\left( {2h} \right) = \pi {R^2}\left( {3h} \right) \cr & \frac{{{r^2}}}{{{R^2}}} = \frac{3}{2} \cr & \Rightarrow \frac{r}{R} = \frac{{\sqrt 3 }}{{\sqrt 2 }}\,i.e.,\sqrt 3 :\sqrt 2 \cr} $$

Join The Discussion