What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Use 3.14 for pi. Round your answer to the nearest hundredth
The formula for the volume of a cone is V = 1/3 * pi * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cone is 6 inches, the radius (r) would be half of the diameter, so r = 6/2 = 3 inches.
Plugging in the values, we get:
V = 1/3 * 3.14 * 3^2 * 7
V = 1/3 * 3.14 * 9 * 7
V = 1/3 * 3.14 * 63
V = 3.14 * 21
V = 65.94 cubic inches
Therefore, the volume of the cone is approximately 65.94 cubic inches.