Question

The curved surface area of a cone is $$4070$$ $$cm^2$$ and its diameter is $$70$$ cm. What is the slant height? (Use $$\pi =22/7$$).

Answer 1

Correct option is A. $$37$$ cm.

Given, Diameter of cone, $$d= 70 cm$$ and Curved surface area,$$ = 4070 cm^2$$.

Radius of cone, $$r = \dfrac{d}{2}=\dfrac{70}{2}=35 cm$$.

We know, curved surface area of cone is $$=\pi rl$$

$$\implies$$ $$4070 cm^2=\dfrac{22}{7}\times 35\times l$$

$$\implies$$ $$l= \dfrac{4070\times 7}{22\times 35}$$

$$\implies$$ $$l=37 cm$$.

Hence, the slant height of the cone is $$37 cm$$.