The height of a cone-shaped tent is 10 m and the radius of its base is 24 m. (i) What is its slant height? (ii) What is the amount of fabric required to make this tent? (π = 3.14)

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Solution

Radius of cone (r) = 24 cm
Height of cone (h) = 10 cm

(i) The height and radius of a cone form a right angle.
Suppose the slant height is l cm.
By Pythagoras Theorem,
l² = r² + h²
⇒ l² = 24² + 10²
⇒ l² = 576 + 100
⇒ l² = 676
⇒ l² = 26 cm

The amount of fabric required to make the conical tent = Curved surface area of a cone
= πrl
= 3.14 × 24 × 26
= 1959.36 Sq cm

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