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What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show your work.

Work Shown:

r = 9 is the radius

h = 13 is the height

V = volume of cone

V = (1/3)*pi*r^2*h

V = (1/3)*pi*9^2*13

V = (1/3)*pi*81*13

V = (1/3)*81*13*pi

V = 351pi = exact volume in terms of pi

note: if you use pi = 3.14 as an approximation, then the cone has a volume of roughly 351*pi = 351*3.14 = 1102.14 cubic feet. Use a more accurate version of pi to get a more accurate approximation.

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step-by-step explanation: