A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig. 13.24). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it

Question

Philoid · Accepted Answer

Given:

Radius (r2) at upper circular end = 4 cm

Radius (r1) at lower circular end = 10 cm

Slant height (l) of frustum = 15 cm

Area of material used for making the fez = CSA of frustum + Area of upper circular end

= π (r1 + r2) l + πr2²

= π (10 + 4) * 15 + π (4)²

= π (14) * 15 + 16π

= 210π + 16π

=

= 710 cm²

Hence, the area of material used= 710 cm²