A conical vessel has a radius of 4 cm, and its curved surface area is 20π cm2. The volume of the conical vessel is:
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 16π cm3.
πrl = 20π
⇒ π × 4 × l = 20π
⇒ l = 5 cm
Height (h) = √(52 - 42) = √(25 - 16) = √9 = 3 cm
Volume = (1/3)πr2h = (1/3) × π × 16 × 3 = 16π cm3