Question

Asked Jan 20, 2020

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Find the height and radius of the largest right circular cylinder that can be put in a sphere of radius sqrt(3).

Step 1

Let ‘R’ be the radius of sphere and ‘r’ be radius of cylinder and ‘h’ be its height. Then volume ‘V’ of the given cylinder is written to be as.

Step 2

Now differentiate ‘V’ with respect to ‘h’ in order to find the values f ‘r’ and ‘h’ which maximize the value of ‘V’.

Step 3

Use the given value of ‘R&rsquo...

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