The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area. [Use π = 3.14.]
Given: Radius of lower circular end = r = 27 cm
Radius of upper circular end = R = 33 cm
Slant height = l = 10cm
Formula: Total surface area of frustum = πr2 + πR2 + π(R + r)l cm2
= 3.14 × (332 + 272 + (33 + 27) × 10) cm2
= 3.14 × (1089 + 729 + 600) cm2
= 3.14 × 2418 cm2
= 7592.52 cm2
∴ total surface area = 7592.52 cm2