1.

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

Answer»

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

TSA of the solid = TSA of cube - Area of base of hemisphere + CSA of hemisphere

⇒ TSA = 6×7² -π×(3.5)² + 2×π×(3.5)²

⇒ TSA = 6×7² + π×(3.5)²

⇒ TSA = 332. 465 cm²

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