Final answer:
The volume of a cone with a radius of 2 ft and a height of 9 ft, using 3.14 for pi, is 37.68 cubic feet.
Step-by-step explanation:
Calculating the Volume of a Cone
To calculate the volume of a cone, we use the formula:
\(V = \frac{1}{3} \pi r^2 h\)
In this case, the radius (r) is 2 ft and the height (h) is 9 ft. We are also given that we should use 3.14 for \(\pi\). Substituting these values into the formula, we get:
\(V = \frac{1}{3} \times 3.14 \times (2 ft)^2 \times 9 ft\)
First, calculate the area of the base (circle) which is \(\pi r^2\).
\(Area = 3.14 \times (2 ft)^2
= 3.14 \times 4 ft^2
= 12.56 ft^2\)
Then, multiply the area by the height and divide by 3:
\(V = \frac{1}{3} \times 12.56 ft^2 \times 9 ft
= \frac{113.04 ft^3}{3}
= 37.68 ft^3\)
Thus, the volume of the cone is 37.68 cubic feet.