Question 129

The perimeter of base of a right circular cone is 44 cm. If the height of the cone is 24 cm, then what is the curved surface area (in cm) of the cone?

Solution

Given perimeter of a right circular cone = 44 cms

$$\therefore$$ 2$$\pi$$r = 44 (or) 2($$\frac{22}{7}$$)r = 44 (or) r = 7

Height of the cone = 24 cms (given)

Slant height (l) = $$\sqrt{24^{2} + 7^{2}} = \sqrt{576 + 49} = \sqrt{625} = 25$$

Curved surface area of the cone = $$\pi$$rl = ($$\frac{22}{7})(7)(25) = 550$$

Hence, option A is the correct answer.

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