Question

If the base area and the volume of a cone are numerically equal, then its height is $3$ units.

• A. True
• B. False
• C. Either
• D. Neither

Answer 1

Answer: (A)

True

We know, the base of the cone is circular.

Then, base area $=\pi r^2$.

Also, volume of cone $=\frac{1}{3}\pi r^{2}h$.

Given, the base area and volume of the cone are numerically equal.

Then, $\frac{1}{3}\pi r^{2}h=\pi r^2$

$⟹$ $\frac{1}{3}h=1$
$⟹$ $h=3$ units.

That is, the statement is true.

Hence, option $A$ is correct.