Question

A right cylindrical vessel if full with water. How many right cones having same diameter and height as that of right cylinder will be needed to store that water?

• A. $2$
• B. $4$
• C. $3$
• D. $5$

Answer 1

The correct option is C $3$

Volume of cylinder $=$ $\pi r^{2}h$

Volume of cone $=$ $\frac{1}{3}\pi r^{2}h$

Let $x$ cones be needed to store water of one cylinder.

$\Rightarrow \pi r^{2}h$ $=$ $x$$\left(\frac{1}{3}\pi r^{2}h\right)$

$\Rightarrow x=3$