The area of the base of a right circular cone is 154 cm 2 and its height 14 cm. The curved surface of the cone is?
Correct Answer: (154 x √2 ) cm2
Explanation:
∵ 22/7 x r2 = 154
⇒ r2 = 154 x (7/22) = 49
∴ r = 7 cm and h = 14
So, l = √(7)2 + (14)2 = √245 = 7√5 cm ∴ Area of curved surface = πrl
= (22/7) x 7 x 7√5 cm2
= 154√5 cm2
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