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