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.
[tex]Volume = \frac{1}{3} \pi r^{2} h[/tex]
Here, notice that our cone has a radius of 4 feet and a height of 12 feet so plugging into the formula, we have [tex](\frac{1}{3})(\pi)(4 ft^{2})(12 ft)[/tex]
Start by simplifying the exponent and moving π to the end.
So we have [tex](\frac{1}{3})(16 ft^{2})(12 ft)(\pi)[/tex].
Next, notice that the 3 in 1/3 and 12 cross cancel to 1 and 4.
Now multiplying, [tex](1)(16 ft^{2})(4 ft)[/tex] 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 [tex](64)(3.14)[/tex] which is equal to 200.96 ft³.
So the volume of the cone is approximately equal to 200.96 ft³.
