After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to demolish what remained and replace it with a new steel silo.  The original silo was a 75 feet tall cylinder with a diameter of 20 feet.  The roof which also held silage, was half of a sphere. In order to store the same amount of silage in a new silo with a flat roof and on the same foundation, how tall would it need to be?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to demolish what remained and replace it with a new steel silo.  The original silo was a 75 feet tall cylinder with a diameter of 20 feet.  The roof which also held silage, was half of a sphere. In order to store the same amount of silage in a new silo with a flat roof and on the same foundation, how tall would it need to be?

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