Question

The curved surface area of a cone is $308c{m}^2$ and its slant height is 14 cm. Find the radius of the base and total surface area of the cone.

Answer 1

C.s.a=$308c{m}^2$
l=14cm
$\pi \times r\times l=308$
$\frac{22}{7}\times r\times 14=308$
r= $\frac{52}{11}$
tsa= $\pi \times r(r+l)$
=$\frac{22}{7}\times \frac{52}{11}(\frac{52}{11}+308)$
=$275.28c{m}^2$