A solid hemisphere is to be painted over its entire surface (curved surface and base)
MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A solid hemisphere is to be painted over its entire surface (curved surface and base). The available paint is just sufficient to cover 968πcm2 of surface area.
(a) Establish an equation relating the radius r of the hemisphere to the surface area that can be painted.
(b) Solve the equation to find the radius of the hemisphere.
(c) Using this radius, calculate the volume of the hemisphere correct to the nearest cubic centimetre.