Please show how to get a-b. The half cylinder shown below has diameter 6m (radius 3m) and length 7m.7 m6 ma) On your paper find a formula for the volume of a single vertical slice z meters from the front ofthe shed. An example is shown below.7m6 mb) One your paper set up the integral(s) that you would use to find the volume of the half cylinder bymaking vertical slices.c) On your paper find a formula for the volume of a single horizontal slice made y meters from thebottom 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 bymaking horizontal slices.

Name: Please show how to get a-b. The half cylinder shown below has diameter
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please show how to get a-b. The half cylinder shown below has diameter 6m (radius 3m) and length 7m.7 m6 ma) On your paper find a formula for the volume of a single vertical slice z meters from the front ofthe shed. An example is shown below.7m6 mb)

Given the half-cylinder with the diameter 6 m (radius 3 m) and length 7 m. (a) The volume of the cylinder of radius r and length h is given by, V=πr2h Then, the volume of the half-cylinder of radius r and length h is, V=πr2h2 Then, the volume of the single vertical slice x meters from the front of the shed is, V=πr2x2=π32x2=9π2x m3(b) The volume of the given half-cylinder determined by making the vertical slices is given by the integral, V=∫079π2dx=9π2x07=9π27=63π2 m3