Question

a metalic hemisphere is melted and recast in the shape of a cone with the same base radius as that of the hemisphere. if H is the height of the cone​

Answer 1

Answer:

the answer would be H= 2R

Step-by-step explanation:

Radius of Hemisphere =R

Volume of Hemisphere = (2/3)πR^ 3

This Hemisphere is recasted into a Cone,

therefore Volume remains same.

Therefore, (2/3)πR^ 3 = (1/3)πR^ H

where H is Height of the Cone

Thus H=2R