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.
Correct option is A. $$5500$$ $$cm^2$$.
We have,
$$r=7$$cm and $$h=24$$cm.
$$\therefore l=\sqrt{r^2+h^2}=\sqrt{49+576}=25$$cm.
Therefore, Required area $$=10\times$$ area of the sheet
$$=10\times \pi rl=10\times \dfrac{22}{7}\times 7\times 25=5500cm^2$$.