A hemisphere is melted and recast into a cone of the same radius R. Find the height of the cone formed.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2R.
A hemisphere is melted and recast into a cone of the same radius = R cm
Volume of hemisphere = (2/3)πR3
Volume of cone = (1/3)πR2H
(2/3)πR3 = (1/3)πR2H
⇒ (2/3)R = (1/3)H
⇒ H = 2R