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).

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Expert Answer

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.

Calculus homework question answer, step 1, image 1
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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’.

Calculus homework question answer, step 2, image 1
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Step 3

Use the given value of ‘R&rsquo...

Calculus homework question answer, step 3, image 1
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Tagged in

Math

Calculus