Question

A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

Answer 1

Radius(r) of the conical cap = 7 cm
Height (h) of the conical cap = 24 cm
Slant height (l) of the conical cap =\(\sqrt{r^2+h^2}\)
\(=\sqrt{(7)^2+(24)^2}\) cm
\(=(\sqrt{625})\) cm
=25 cm
CSA of 1 conical cap =\(\pi rl\)
\(=(\frac{22}{7}×7×25)\) cm²
\(=550\) cm²
CSA of 10 such conical caps = \((10×550)\) cm²=5500 cm²
Therefore, 5500 cm² sheet will be required.