Geometry & Mensuration
Aptitude

 Back to Questions
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.

$3:4$

 Hide Ans

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.