The half cylinder shown below has diameter 6m (radius 3m) and length 7m. 7 m a) On your paper find a formula for the volume of a single vertical slice z meters from the front of the shed. An example is shown below. 7 m b) One your paper set up the integral(s) that you would use to find the volume of the half cylinder by making vertical slices.

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 46E
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The half cylinder shown below has diameter 6m (radius 3m) and length 7m.
7 m
6 m
a) On your paper find a formula for the volume of a single vertical slice z meters from the front of
the shed. An example is shown below.
7m
6 m
b) One your paper set up the integral(s) that you would use to find the volume of the half cylinder by
making vertical slices.
c) On your paper find a formula for the volume of a single horizontal slice made y meters from the
bottom of the shed. An example is shown below.
d) On your own paper set up the integral(s) that you would use to find the volume of half cylinder by
making horizontal slices.
Transcribed Image Text:The half cylinder shown below has diameter 6m (radius 3m) and length 7m. 7 m 6 m a) On your paper find a formula for the volume of a single vertical slice z meters from the front of the shed. An example is shown below. 7m 6 m b) One your paper set up the integral(s) that you would use to find the volume of the half cylinder by making vertical slices. c) On your paper find a formula for the volume of a single horizontal slice made y meters from the bottom of the shed. An example is shown below. d) On your own paper set up the integral(s) that you would use to find the volume of half cylinder by making horizontal slices.
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