SOLUTION: A cylinder is inscribed in a sphere of radius 1. a. Express the volume V of the cylinder as a function of the base radius r.

Question 1011899: A cylinder is inscribed in a sphere of radius 1.
a. Express the volume V of the cylinder as a function of the base radius r.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= radius of the cylinder,
= height of the cylinder.
A cross-section of the sphere, with the cylinder
(sliced along the middle) looks like this:
Applying the Pythagorean theorem, -->-->--> .
Since for a cylinder, ,

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