Question

Find the volume of a cone with a radius of 4ft and a height of 12ft. Give your answer in terms of pie

Answer 1

5

Explanation:

Answer 2

Answer: 64π ft³

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

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

Here, notice that our cone has a radius of 4 feet and a height of 12 feet so plugging into the formula, we have
`((1)/(3))(\pi)(4 ft^(2))(12 ft)`

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

So we have
`((1)/(3))(16 ft^(2))(12 ft)(\pi)`.

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

Now multiplying,
`(1)(16 ft^(2))(4 ft)` is 64 ft².

So we have 64π ft³. This will be your answer

So the volume of the cone is 64π ft³.

Now, remember that π is approximately equal to 22/7 or 3.14 so we can estimate the volume py plugging in 3.14 for π.

So we have
`(64)(3.14)` which is equal to 200.96 ft³.

So the volume of the cone is approximately equal to 200.96 ft³.