Question

Find the volume of the cone.

Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.

Answer 1

v ≈ 78.54

Explanation:

v = π
`r^(2)`
`(h)/(3)`

so v ≈ 78.54

Answer 2

The volume of the cone is 15π cubic units.

The volume of a cone is equal to one-third the area of the base times the height. In this case, the base is a circle, so we can use the formula for the area of a circle to find the area of the base.

The radius of the base is 3, so the area of the base is π * 3² = 9π.

The height of the cone is 5, so the height of the cone is 5.

Now that we know the area of the base and the height of the cone, we can plug them into the formula for the volume of a cone:

volume = (1/3) * base area * height

volume = (1/3) * 9π * 5

volume = 15π