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If the height, curved surface area and the volume of a cone are h, c and V respectively, then 3πVh 3 - c 2 + 9V 2 will be equal to?

Correct Answer: 0

Explanation:

Let h be the height,
Volume of the cone = V
and curved surface area of the cone = c
∴ 1/3 πr2h = V, πrl = c
i.e., πr√r2 + h2 = c
π2r2(r2 + h2) = c2
Consider 3πVh3 - c2h2 + 9V2
= 3π x 1/3πr2h x h3 - π2r2(r2 + h2)h + 9 x 1/9 x π2r4 h2
= π2r2h4 - π2r4h2 - π2r2h4 + π2r4 = 0


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