A hemisphere fits snugly inside a cylinder with a radius of 12 cm. A cone fits snugly inside the same hemisphere. 1. What is the volume of the cylinder in terms of T? Show all work. 2. What is the volume of the cone in terms of T? Show all work. 3. Estimate the volume of the hemisphere in terms of T by calculating the average of the volumes of the cylinder and cone. Show all work.

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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A hemisphere fits snugly inside a cylinder with a radius of 12 cm. A cone fits snugly inside the same
hemisphere.
1. What is the volume of the cylinder in terms of T? Show all work.
2. What is the volume of the cone in terms of T? Show all work.
3. Estimate the volume of the hemisphere in terms of T by calculating the average of the volumes
of the cylinder and cone. Show all work.
Transcribed Image Text:A hemisphere fits snugly inside a cylinder with a radius of 12 cm. A cone fits snugly inside the same hemisphere. 1. What is the volume of the cylinder in terms of T? Show all work. 2. What is the volume of the cone in terms of T? Show all work. 3. Estimate the volume of the hemisphere in terms of T by calculating the average of the volumes of the cylinder and cone. Show all work.
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