SOLUTION: A sphere of diameter 40cm has a cylinder of base radius r cm inscribed within it. Find an expression for teh volume of the cylinder, V(r), in terms of r only.

Question 1013226: A sphere of diameter 40cm has a cylinder of base radius r cm inscribed within it. Find an expression for teh volume of the cylinder, V(r), in terms of r only.
Answer by josgarithmetic(39631) (Show Source): You can put this solution on YOUR website!
Cross section through the middle can be a circle and if centered at the Origin for graphing, .

x=r and use r, as if a constant, to find y.

Volume of the cylinder will be ; you'll need the picture to see this.

volume is -----answer
Do not confuse radius of the circle or sphere with the radius of the cylinder.
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