Sketch a diagram of your pyramid. A complete diagram will include the function, the
- and -axes, and a typical slice labeled with the appropriate dimensions.
Pyramids have pointy tips. If the height is
inches, the base would start at .
Set up and evaluate the integral that will find the exact volume of your pyramid.
Notice that the cross-sections are perpendicular to the
-axis, so set up and evaluate an integral in terms of .
Use the eTool below to help solve the problem.
Click the link at right for the full version of the eTool: Calc 8-123 HW eTool (Desmos)