Question

A solid is in the shape of a cone surmoundted on a hemisphere the radius of each of them is being 3.5cm and the total height of solid is 9.5 cm find the volume of solid

Answer 1

Total height = 9.5cm
cone height = Total height - hemisphere height
cone height = 9.5 - 3.5 = 6 cm

r = 3.5cm

Volume of solid = 2/3 ×pi ×r^3 + pi×r^2×h

= pi×r^2 (2/3×r + h)

= 22/7 × (3.5)^2 (2/3 ×3.5 + 6)

= 22×0.5×3.5 (2.31 + 6)

= 38.5 × 8.31

= 46.81 cm^3


Thanks