A grain silo is formed by attaching a hemisphere to the top of a right circular cylinder. If the cylinder is 16feet high and the volume of the silo is 600πcubic feet, find the common radius of the cylinder and the hemisphere.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 48E
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A grain silo is formed by attaching a hemisphere to the top of a right circular cylinder. If the cylinder is 16feet high and the volume of the silo is 600πcubic feet, find the common radius of the cylinder and the hemisphere.

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