In Figure, the radius of the base of the right circular cone is 3. If the volume of the cone is 12π, find the lateral area of the cone.
12π
15π
36π
18π
A
15π
B
36π
C
12π
D
18π
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Solution
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Volume of cone with radius r and height h is =13×πr2h
=13×π(3)2h=3πh
But given volume =12π.
Then, h=4.
Given, r=3.
Therefore, slant height l=√32+42=√25=5
Hence, Lateral area of cone is =πrl=π×3×5=15π .
Therefore, option B is correct.
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