The Total solution for NCERT class 6-12
A hemisphericaldepression is cut out from one face of a cubical wooden block such that thediameter l of the hemisphere is equal to the edge of the cube. Determine thesurface area of the remaining solid.
The diagram is as follows:
Now, the diameter of hemisphere = Edge of thecube = l
So, the radius of hemisphere = l/2
∴ The total surface area of solid = surface area of cube + CSA ofhemisphere – Area of base of hemisphere
TSA of remaining solid = 6 (edge)2+2πr2-πr2
= 6l2 πr2
= 6l2+π(l/2)2
= 6l2+πl2/4
= l2/4(24+π) sq. units