A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid


From the figure:

The greatest diameter possible for the hemisphere is equal to the cube's edge= 7cm



Radius (r) of hemispherical part =


= 3.5cm


Total surface area of solid = Surface area of cubical part + CSA of hemispherical part - Area of base of hemispherical part


= 6 (Edge)2 + 2πr2 – πr2


= 6 (Edge)2 + πr2


Total surface area of solid = 6 (7)2 + * *


= 294 + 38.5


= 332.5 cm2


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