Teen gets Large Sausage Pizza Delivered
In order to more accurately calculate the volume of the pizza, using a cylinder to approximate the area isn't enough. Instead, to account for the curve of the pizza's crust at the edges, calculate the volume of the pizza using the given solid of revolution.
This is the area that needs to be rotated around the x axis. All the units are in inches. The diameter of the pizza is 14 inches, which is why the radius here is 7 inches.
Use the disk method formula around the x axis to calculate the volume of the region rotated around the x axis.
Plugging in the bounds and the equation into the volume formula, the final answer is 153.377 cubic inches.
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