Question

Choose the correct alternative answer for the following question:

Find the curved surface area of a cone of radius $$7\,cm$$ and height $$24\,cm$$.

Answer 1

Correct option is B. $$550\,cm^2$$

Given, Radius of the cone, $$r = 7\,cm$$
and Height of the cone, $$h = 24\,cm$$.

Let $$l$$ be the slant height of the cone.

Then,

$$l = \sqrt{r^2 + h^2}$$

$$ = \sqrt{7^2 + {24}^2} $$

$$= \sqrt{49 + 576} $$

$$= \sqrt{625} $$

$$\implies$$ $$l= 25\,cm$$.

∴ Curved surface area of the cone$$=\pi r l = \dfrac{22}{7} \times 7 \times 25 = 550\,cm^2$$.

Hence, option $$$$ is corect.