Question

A largest hemisphere is carved out from a cube of side 7cm. Find the volume and Surface

area of the remaining solid.​

Answer 1

Answer:

the volume of hemisphere = volume of the cube

the volume of the cube = l³

                                       = [ 7 cm ]³

                                       = 343 cm³

the volume of hemisphere = 343 cm³

2/3πr³ = 343 cm³

πr³ = 343 cm³×3/2

πr³ = 1029/2

r³ = 514.5×7*22

r = ³√163.7

r = 5.47 cm

Tsa of cube = 6a² = 6[49] = 294 cm²

Tsa of hemisphere = 3πr² = 3×[22/7]×5.47×5.47 = 282.11 cm²

Remaning area = 294 cm² - 282.11 cm² = 11.89 cm²

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