Question

a cubical block of side 7cm is surmounted by hemisphere. what is the greatest diameter the hemishpere can have? find TSA of solid

Answer 1

the hemisphere is surmounted so the side of the cube is the diameter of the hemisphere so the largest diameter is 7cm

the TSA of the solid is = cube + hemisphere
which is 332.5cm

Answer 2

The hemisphere is mounted on the cubical block
The 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