Question

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.

Answer 1

Soln:

Given slant height of frustum cone = 10 cm

Radii of circular ends of frustum cone are 33 cm and 27 cm

$r_1=33cm$ ; $r_2=27cm$

Total surface area of a solid frustum of cone

$=\pi (r_1+r_2)L+\pi r_1^2+\pi r_2^2$
$=\pi (33+27)\times 10+\pi \times {33}^2+\pi \times {27}^2=\pi (600+1089+729)=2418\pi =7599.42c{m}^2$

∴∴ Total surface area = 7599.42 $c{m}^2$