A cone and a hemisphere have equal bases and equal volumes.

Question:

A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

Solution:

Given that

Volume of the cone = Volume of the hemisphere

$1 / 3 \pi r^{2} h=2 / 3 \pi r^{3}$

$r^{2} h=2 r^{3}$

h = 2r

h/r = 1/1 × 2 = 2

Therefore

Ratio of their heights = 2:1

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now