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.(1 point)

Answer 1

The volume of a cone is calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.

First, we need to find the radius. The diameter of the cone is 6 inches, so the radius is half of that, which is 3 inches.

Now, we can substitute the values into the formula:

V = (1/3)π(3^2)(7)
V = (1/3)π(9)(7)
V = (1/3)π(63)
V = 63π/3
V = 21π

Using the approximate value of π as 3.14, we get:

V ≈ 21(3.14)
V ≈ 65.94 cubic inches

Therefore, the volume of the cone is approximately 65.94 cubic inches.