Question

A buoy is made in the form of hemisphere surmounted by a right cone whose circular base coincides with the plane surface of hemisphere. The radius of the base of the cone is 3.5 metres and its volume is two third of the hemisphere. Calculate the height of the cone and the surface area of the buoy, correct to two places of decimal

Answer 1

Radius of hemispherical part (r) = 3.5 m = 7/2 m

Surface Area = 141.17 m²