Question

A hemisphere is cut out from one face of a cubical wooden block of edge 21 cm, such that the diameter of the hemisphere is equal to the edge of the Cube. Determine the total surface area of the remaining block.

Answer 1

Let diameter of the hemisphere be ‘l’ = 21 cm 

Radius of the hemisphere = \(\frac{l}{2}=\frac{21}{2}\) cm 

Also, length of the edge of the cube = l = 21 cm 

∴ Total surface area of the remaining solid.