What is the volume, in cubic inches, of a cone with a diameter of 6 inches and a height of 7 inches? Round your answer to the nearest hundredth.(1 point)
The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
The diameter of the cone is 6 inches, so the radius is half of that, which is 3 inches.
By substituting the values into the formula, we get V = (1/3)π(3^2)(7).
Simplifying further, we have V = (1/3)π(9)(7) = (63/3)π ≈ 65.98 cubic inches.
Rounding to the nearest hundredth, the volume of the cone is approximately 65.98 cubic inches.