Question

curved surface area of a cone is 308 cm^2 and it's slant height is 14 cm . find (i) radius of the base and (ii) total surface area of the cone.

Answer 1

Thanks for asking question

According to the question we know that covered surfaces area of the cone is 308 cm²
and slant height is 14 cm

we know that covered surfaces area of a cone = π r l
so,

$308 = \frac{22}{7} \times r \times 14$

r = 7 CM

Now, we know that formula for total surface area of the cone is πr(r+l) so,

$= \frac{22}{7} \times 7(7 + 14) \\ \\ = 22 \times 21 \\ \\ = 462$


So, The first condition radius of the base is
7 CM

Second condition total surface area of the cone is 462 CM ²

THAT'S SOLVED