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.
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➝ Given
Edge of Cube = 7 cm
Diameter of hemisphere = 7 cm
Radius of hemisphere = 7/2 cm
➝ Find
surface area of solid
➝ Solution
➢. The total surface area of solid (TSA) = surface area of cubical block + CSA of hemisphere – Area of base of hemisphere
➢ TSA of solid = 6×(side)2+2πr2-πr2
= 6×(side)2+πr2
= 6×(7)2+(22/7)×(7/2)×(7/2)
= (6×49)+(77/2)
= 294+38.5 = 332.5 cm2
➢ So, the surface area of the solid is 332.5 cm2
➝ Formula used ;-
Area of cube = 6a2
CSA of hemisphere = 2πr2
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