Question

Find the volume of a cone with a. Height of 12 in and a base radius of 3 in

Answer 1

113.1 cubic inches

Explanation:

Plug in the numbers into the formula and solve.

Answer 2

Answer: 36π in.³

Step-by-step explanation: To find the volume of a cone, start with the formula for the volume of a cone.

Volume =
`(1)/(3)\pi r^(2)h`

Since we're given that the radius of the cone is 3 inches an the height of the cone is 12 inches, we can plug this information into our formula.

Volume =
`((1)/(3))(\pi)(3in.)^(2)(12 in.)`

Start by simplifying the exponent and moving π to the end.

Volume =
`((1)/(3))(9 in.^(2))(12 in.)(\pi)`

Next, notice that 3 in 1/3 and 12 cross cancel to 1 and 4.

Volume =
`(1)(9in.^(2))(4in.)(\pi)`

Volume = 36π in.³

Therefore, the volume of the cone is 36π in.³.