4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show the volume of the cylinder is given by the formula V = 2Tx(R2 –x²). %3D (b) Determine the height h of the cylinder of largest volume that can be in- scribed in the sphere.

4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius R. (a) Show the volume of the cylinder is given by the formula V = 2Tx(R2 –x²). %3D (b) Determine the height h of the cylinder of largest volume that can be in- scribed in the sphere.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

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Question

4. A right circular cylinder of height h = 2x is inscribed in a sphere of fixed radius
R.
(a) Show the volume of the cylinder is given by the formula V = 2Tx(R2-x²).
(b) Determine the height h of the cylinder of largest volume that can be in-
scribed in the sphere.

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