Question : The curved surface area of a right circular cone of a base radius of 21 cm is 594 sq. cm. What is the slant height of the cone?
Option 1: 15 cm
Option 2: 11 cm
Option 3: 9 cm
Option 4: 6 cm
Correct Answer: 9 cm
Solution :
The curved surface area of a right circular cone = 594 sq. cm.
The radius of a right circular cone, $r$ = 21 cm
Let the slant height be $l$ cm.
We know that the curved surface area of a right circular cone = $\pi r l$
So, $\pi r l=594$
$⇒\frac{22}{7}\times 21\times l=594$
$\therefore l=9$ cm
Hence, the correct answer is 9 cm.
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