Comprehension
A company produces cylindrical tumblers, open from the top. Since they want uniformity in the product, they fix the surface area of the tumblers produced. If for a tumbler, $V$ is its volume, $h$ is the height and $r$ is the radius of the circular base, then: 
Question: 1
Differentiate its volume with respect to the radius of the base, where the surface area is constant.
Differentiate its volume with respect to the radius of the base, where the surface area is constant.
Updated On: Jul 6, 2026
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Question: 2
If the company wants to maximize the volume of each tumbler,
then establish a relation between its height and the radius of the
base.
If the company wants to maximize the volume of each tumbler,
then establish a relation between its height and the radius of the
base.
Updated On: Jul 6, 2026
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Solution and Explanation
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