JEE MATHEMATICS MCQ: RATE MEASURE

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A right circular cylinder which is open at the top and has a given surface area, will have the greatest volume if its height

h

and radius

r

are related by

View answer and explanation

Correct option: D

h = r

Option D (

h = r

) is correct because it represents the relationship between height and radius that maximizes the volume of the cylinder for a given surface area, found through differentiation.

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