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Question

If h, C and V respectively are the height, the curved surface and volume of cone, then 3πVh3C2h2+9V2 is?
  1. 4πr
  2. 0
  3. 2πrh
  4. πr3

A
2πrh
B
0
C
4πr
D
πr3
Solution
Verified by Toppr

Given, r,h,l,C,V are radius, height, slant height, curved surface and volume of cone, respectively.
We know, volume of the cone V=13πr2h
and curved surface C=πrl=πrh2+r2

Then, 3πVh3C2h2+9V2
3π (13πr2h) h3 (πrh2+r2)h2+9 (13πr2h)2
π2r2h4 π2r2h4 π2r2h4 +π2r2h4 =0.

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