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## Exercises

1. For the function over the interval ,
A
Plot over the given interval.
B
Plot the approximation of the solid of revolution using LeftDisk with 12 disks.
C
Plot the solid formed by revolving about the -axis.
D
Find the exact volume of the solid of revolution using the RevInt command and label your output exact.
E
Find the number of subintervals needed to approximate the volume of the solid of revolution about the -axis using LeftInt with error no greater than 0.1.

2. Prove each of the volume formulas below by finding a function such that when revolved about the x-axis creates the solid whose volume you are trying to prove. Use the formula for the Disk method instead of the RevInt command.
A
The volume of a sphere of radius is
B
The volume of a cylinder of radius and height is .
C
The volume of a right circular cone of radius and height is

3. A maker of brass candlesticks plans to make a candlestick whose shape is given by revolving the function

about the axis over the interval . Plot the candlestick and find its volume.

Next: About this document ... Up: lab_template Previous: Finding Volumes of Revolution
Dina J. Solitro-Rassias
2015-11-15