A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. Find the volume of the solid.
The solid is in the form of a cone surmounted on a hemisphere.
Total height of solid = h = 9.5 m
Radius of Solid = r = 3.5 m
Volume of hemispherical part solid = 2/3 × πr3
= 2/3 × 22/7 × 3.53 m3
= 89.83 m3
Height of conical part of solid = hcone = Total height of solid – Radius of solid
Height of conical part of solid = hcone = 9.5 – 3.5 = 6 m
Volume of conical part of solid = 1/3 × πr2hcone
= 1/3 × 22/7 × 3.52 × 6 m3
= 77 m3
Volume of solid = Volume of hemispherical part solid + Volume of conical part solid
Volume of solid = 89.83 + 77 m3 = 166.83 m3