Question

A conical flask of base radius r and height h is full of milk. The milk is now poured into a cylindrical flask of radius $2r$. What is the height to which the milk will rise in the flask?

• A. $\frac{h}{3}$
• B. $\frac{h}{6}$
• C. $\frac{h}{9}$
• D. $\frac{h}{12}$

Answer 1

The correct option is D $\frac{h}{12}$

If H is the height of the milk through which is rises in the cylinder, then
$\pi .(2r{)}^{2}H=\frac{1}{3}\pi r^{2}h$
$\Rightarrow H=\frac{h}{12}$