Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters. (a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same. (b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same. (c) Which causes the volume to increase more, increasing its radius or height? Explain. (a) What is the volume if the height is increased by 4 centimeters? V cubic centimeters (Do not round until the final answer. Then round to the nearest hundredth as needed.)

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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Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters.
(a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same.
(b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same.
(c) Which causes the volume to increase more, increasing its radius or height? Explain.
(a) What is the volume if the height is increased by 4 centimeters?
cubic centimeters
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
Transcribed Image Text:Answer parts (a), (b), and (c) for a cylinder with a radius of 8 centimeters and height of 12 centimeters. (a) Compute the volume of the cylinder if the height were increased by 4 centimeters and the radius stayed the same. (b) Compute the volume of the cylinder if the radius were increased by 4 centimeters and the height stayed the same. (c) Which causes the volume to increase more, increasing its radius or height? Explain. (a) What is the volume if the height is increased by 4 centimeters? cubic centimeters (Do not round until the final answer. Then round to the nearest hundredth as needed.)
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