Find the volume of a cone that has a diameter of 7 and a height of 8.

98pi/3(approx. 102.625)

Step-by-Step Explanation:

Start with an equation that relates base diameter (d), height (h), and volume (V):
V=(1/12)(pi^2)(d^2)h

Then, substitute known values into the equation:
V=(1/12)(7^2)(8pi)

Finally, solve the equation:
V=((7^2)(8pi))/12
V=(2(7^2)pi)/3 (the GCD of 12 and 8 is 4, so we can simplify by dividing by 4/4)
V=(2(49)pi)/3
V=98pi/3 (or approx. 102.625)