If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).

a

\(\frac{\pi h}{3} (2R + r)\)

b

\(2R + r + \frac{\pi h}{3}\)

c

\(\frac{\pi h}{3} (2R^2 + r + 2r)\)

d

\(\frac{2R^2}{3} \pi h\)

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The square on the r when differentiated would be 2r. Therefore, the answer would be πh/3 (2R + 2r)

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