Curved surface area of a cone is 308 cm-2 and its slant height is 14 cm- Find the radius of the base and total surface area of the cone-

Question

Toppr Admin · Accepted Answer

We have-C-S-A-pi rl-308- and -l-14-Rightarrow -dfrac-22-7-times r-times 14-308-Rightarrow r-7-cmTotal surface area-pi rl-pi r-2-308-dfrac-22-7-times 7-2-462cm-2-

Curved surface area of a cone is $$308$$ $$cm^2$$ and its slant height is $$14$$ cm. Find the radius of the base and total surface area of the cone.

We have,
$$C.S.A=\pi rl=308$$ and $$l=14$$
$$\Rightarrow \dfrac{22}{7}\times r\times 14=308$$
$$\Rightarrow r=7$$cm
Total surface area$$=\pi rl+\pi r^2=308+\dfrac{22}{7}\times 7^2=462cm^2$$.

Curved surface area of a cone is $$308$$ $$cm^2$$ and its slant height is $$14$$ cm. Find the radius of the base and total surface area of the cone.

We have,$$C.S.A=\pi rl=308$$ and $$l=14$$$$\Rightarrow \dfrac{22}{7}\times r\times 14=308$$$$\Rightarrow r=7$$cmTotal surface area$$=\pi rl+\pi r^2=308+\dfrac{22}{7}\times 7^2=462cm^2$$.

We have,
$$C.S.A=\pi rl=308$$ and $$l=14$$
$$\Rightarrow \dfrac{22}{7}\times r\times 14=308$$
$$\Rightarrow r=7$$cm
Total surface area$$=\pi rl+\pi r^2=308+\dfrac{22}{7}\times 7^2=462cm^2$$.