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 of the base of a conical cap (r) =7 cm

and height (h)=24 cm

$\therefore Slantheight=\sqrt{r^2+h^2}=\sqrt{(7{)}^2+(24{)}^2}=\sqrt{49+576}=\sqrt{625}=25cm\therefore Areaofitsslantsurface=\pi rl=\frac{22}{7}\times 7\times 25c{m}^2=550c{m}^2\therefore Areaof10suchcaps=550\times 10c{m}^2=5500c{m}^2$