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If the volume of a frustrum is given as \(V = \frac{\pi...

If the volume of a frustrum is given as V=πh3(R2+Rr+r2), find dVdR.

A.

πh3(2R+r)

B.

2R+r+πh3

C.

πh3(2R2+r+2r)

D.

2R23πh

Correct answer is A

V=πh3(R2+Rr+r2)

V=πR2h3+πRrh3+πr2h3

dVdR=2πRh3+πrh3

= π3(2R+r)