Find the volume of the largest cylinder that can be inscrib…

Maths Differentiation and Applications of Derivatives Maxima and Minima Subjective Type

Published on: August 14, 2026

Find the volume of the largest cylinder that can be inscribed in a sphere of radius ' r ' cm.

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The correct answer is:

CHECK THE SOLUTION.

R 2 + r 2 = h 2

R 2 = h 2 – r 2

volume of cylinder ,

V = π R 2 (2h) = π (2h) ( ) 2

= 2 π (r 2 – h 2 ) + 2 π h(–2h) = 0

⇒ r 2 = 3h 2 ⇒ h =

< 0 at h = ⇒ V max = 2 π =

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