Ch 6.4: Volume of a Solid : Slicing methodIf for each x in [a, b], the area A(x) of the cross section of a solidis known and is continuous on [a, b], then the volume V of thesolid is

V =

∫ b

aA(x) dx

ExampleUse the slicing method to verify that the the volume of a rightcircular come having radius R and height h is 1/3πR2h.

Example: PyramidUse the slicing method to verify that the the volume of a pyramidof height h with a square base, each side of length b is 1/3b2h

Class ExerciseThe base of the solid is a circle of radius a = 5; slices madeperpendicular to the base are squares. See the figure.

Find the volume of the solid.