CBSE Notes, Lectures

CBSE - Mathematics - Surface Areas and Volumes

Surface Areas and Volumes

NCERT Exercise Exercise 13.3

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find
(i) radius of the base and (ii) total surface area of the cone.

(i) Curved surface of a cone = 308 cm2
Slant height (l) = 14cm
Let r be the radius of the base
∴ πr��� = 308
⇒ 22/7 × r × 14 = 308
⇒ r =308/(22/7 × 14) = 7 cm

(ii) TSA of the cone = πr(l + r) cm2
= 22/7 × 7 ×(14 + 7) cm2
= (22 × 21) cm2
= 462 cm2

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