Question : The curved surface area of a right circular cone is 44 cm². If the slant height of the cone is 7 cm, then find the radius of its base. [Use $\pi=\frac{22}{7}$ ]
Option 1: 2 cm
Option 2: 4 cm
Option 3: 3 cm
Option 4: 5 cm
Correct Answer: 2 cm
Solution :
The formula of the curved surface area ($CSA$) of a right circular cone is given by:
CSA = $\pi × r × l$, where
$r$ is the radius of the base,
$l$ is the slant height,
According to the question.
⇒ CSA = $\pi × r × l$
⇒ $44 = \frac{22}{7} × r ×7$
⇒ $r = \frac{44}{\frac{22}{7} × r × 7} = \frac{44}{22} = 2$
Hence, the correct answer is 2 cm
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