Question : The curved surface area of a right circular cone of diameter $42 \ \text{cm}$ is $990 \ \text{cm}^2$. What is the slant height (in${\ \text{cm}})$ of the cone? [Use $\pi=\frac{22}{7}$]
Option 1: 10
Option 2: 15
Option 3: 24
Option 4: 12
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Correct Answer: 15
Solution : Diameter = $42 ~cm$ Radius, $r$ = $21 ~cm$ Let $l$ be the slant height. Curved surface area of a right circular cone = $990 \ \text{cm}^2$ ⇒ $\pi r l = 990$ ⇒ $\frac{22}{7}×21×l = 990$ ⇒ $l$ = $\frac{990}{66} = 15 \ \text{cm}$ Hence, the correct answer is 15 cm.
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