Question

find the volume of the cone. use 3.14 for pi and round your answer to the nearest tenth. 22 ft 22 ft a. 506.6 ft³ b. 5,267.2 ft³ c. 11,144.9 ft³ d. 2,786.2 ft³

Explanation:

Step1: Identify radius and height

Radius $r=\frac{22}{2}=11$ ft, height $h = 22$ ft.

Step2: Use volume formula for cone

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 11$, $h=22$ and $\pi = 3.14$ into the formula: $V=\frac{1}{3}\times3.14\times11^{2}\times22$.

Step3: Calculate the value

$V=\frac{1}{3}\times3.14\times121\times22=\frac{1}{3}\times3.14\times2662\approx2786.2$ ft³.

Answer:

D. $2,786.2$ ft³