Question

A fez, the headgear cap used by the truckdriver is shaped like the frustum of a cone.
If its radius on the open side is 12 cm, radius at the upper base is 5 cm and its slant
height is 15 cm, find the area of material used for making it. (it = 3.14)
OR​

Answer 1

880 cm²

Step-by-step explanation:

The frustum has a lower radius of 12 cm and the upper radius is 5 cm and the slant height is 15 cm.

Now, the area of the slant surface of the frustum will be = π (R + r)S

= $\frac{22}{7}\times (12 + 5) \times 15 = 801.43$ cm².

Now, the area of the upper circular section = πr² = $\frac{22}{7} \times 5^{2} = 78.57$ cm².

Therefore, the area of the material used for making the headgear cap will be = (801.43 + 78.57) = 880 cm². (Answer)