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

Answer:

5

Step-by-step 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.

$Volume = \frac{1}{3} \pi r^{2} h$

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

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

So we have $(\frac{1}{3})(16 ft^{2})(12 ft)(\pi)$.

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.