The volume of a cone can be determined by summing up the infinitesimal circular cross-sections...

The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].

Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x)

Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element

(Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a circle is

A)

B)

C)

D)

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