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Volume of a right circular cylinder inscribed in a sphere

A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible volume of such a cylinder.

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Solution Preview

Procedure:
1. Write down the given information and conditions and what you wish to find.
2. Sketch and assign symbols to known and unknown quantities
3. Write the quantity to be maximized or minimized and if needed, express it as a function of one variable
4. Use calculus to solve
Let k = radius of a right circular cylinder inscribed within a sphere of ...

Solution Summary

Calculate the largest possible volume of a right circular cylinder inscribed in a sphere of radius r.

$2.19