A fez, the headgear cap used by the trucks is shaped like the frustum of a cone. If its radius on the open side is $10 c m$ , radius at the upper base is $4 c m$ and its slant height is $15 c m$ , find the area of material used for making it.

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Solution

Clearly, the fez is in the shape of a frustum of a cone with radii of two bases as $r_{1} = 10 c m, r_{2} = 4 c m$ and slant height $l = 15 c m$

Area of the material used
$=$ curved surface area + area of the closed base

$= π (r_{1} + r_{2}) l + π r_{2}^{2}$

$= {\frac{22}{7} \times (10 + 4) \times 15 + \frac{22}{7} \times 4^{2}} {c m}^{2}$

$= (352 \times 2 \times 15 + \frac{352}{7}) {c m}^{2}$

$= 710.28 {c m}^{2}$

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Similar questions

Q. A fez, the cap used by the Turks, is shaped like the frustum of a cone . If its radius on the open side is

10 c m

, radius at the upper base is

4 c m

and its slant height is

15 c m

, find the area of material used for making it.

Q. Question 3
A fez, the cap used by the Turks, is shaped like the frustum of a cone. 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.

A fez, the cap used by the Turks, is shaped like the frustum of a cone (see the figure given below). 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 use for making it.