Question

The height of a cylinder of a given volume is inversely proportional to the square of the radius. If a cylinder of equal volume that has radius 3cm?

Answer 1

Step-by-step explanation:

h2r = 0 h = 2r

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Finding d²v dr²

dv dr = (s - 6лr²)

d²v 1 d(S-6nr²) = dr² 2 dr

d²v dr² 1 = (0-12πr)

d²v dr² = -6πr

d²v dr² < 0 for h = 2r

Hence, Volume of a cylinder is Maximum when h = 2r

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