Question

What is the volume of the cone below. Round to the nearest tenth if needed. Use 3.14 for
height15 radius 6 Diameter 2

Answer 1

how can the cone have a radius of 6 and a diameter of 2?

Answer 2

Volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.

Given:
Radius (r) = 6 units
Diameter = 2r = 2 * 6 = 12 units
Height (h) = 15 units

V = (1/3) * π * 6^2 * 15
V = (1/3) * π * 36 * 15
V = (1/3) * 540π
V = 180π

Approximate value using π ≈ 3.14:
V ≈ 180 * 3.14
V ≈ 565.2

Therefore, the volume of the cone is approximately 565.2 cubic units.

Answer 3

I apologize for the mistake in the previous response. A cone cannot have a radius of 6 and a diameter of 2 at the same time, as they are not consistent dimensions.

Let's correct this:

Given:
Radius (r) = 6 units
Height (h) = 15 units

We will calculate the correct volume of the cone using the formula V = (1/3)πr^2h:

V = (1/3) * π * 6^2 * 15
V = (1/3) * π * 36 * 15
V = (1/3) * 540π
V = 180π

Approximating with π ≈ 3.14:
V ≈ 180 * 3.14
V ≈ 565.2

Therefore, the correct volume of the cone with a radius of 6 units and a height of 15 units is approximately 565.2 cubic units.