# Easy Geometry & Mensuration Solved QuestionAptitude Discussion

 Q. A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
 ✖ A. $1:2$ ✔ B. $2:1$ ✖ C. $3:1$ ✖ D. $3:4$

Solution:
Option(B) is correct

Volume of the cone

$=\dfrac{\pi r^2 h}{3}$

=Volume of a hemisphere

$=\dfrac{2\pi r^3}{3}$

$\Rightarrow$ Height of a hemisphere = Radius of its base

By the above formula, we can see that $h:r=2:1$

Edit: A typo in the question has been corrected after it was pointed out by Nikki.

## (2) Comment(s)

Nikki
()

it is not buses but bases.. please correct the question

Deepak
()

Thank you, Nikki, for pointing out the typo. Corrected it.