- 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.

- 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

- 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.

2015-11-15