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Question

A cubical block of side 7 cm is surmounted by a hemisphere of the largest size. Find the surface area of the resulting solid.


Solution

The hemisphere is mounted on the cubical block
The diameter of the hemisphere = the side of the cube = 7cm

Total Surface Area of the solid = Total Surface Area of cube - Area of base of hemisphere + Curved Surface Area of hemisphere

⇒ TSA of solid  = 6×7² - π×(3.5)² + 2×π×(3.5)²

⇒ TSA = 6×7² + π×(3.5)²

⇒ TSA = 332. 465 cm²
 


Mathematics
Concise Mathematics
Standard X

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