Question

what is the volume of this cone? use π ≈ 3.14 and round your answer to the nearest hundredth. 38 ft 22 ft cubic feet

Explanation:

Step1: Recall the volume formula for a cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius and $h$ is the height. Here, the radius $r = 22$ ft and the height $h=38$ ft.

Step2: Substitute the values into the formula

$V=\frac{1}{3}\times3.14\times22^{2}\times38$. First, calculate $22^{2}=484$. Then the expression becomes $V=\frac{1}{3}\times3.14\times484\times38$.

Step3: Perform the multi - plications

$\frac{1}{3}\times3.14\times484\times38=\frac{3.14\times484\times38}{3}$. $3.14\times484 = 1519.76$, and $1519.76\times38=57750.88$. Then $\frac{57750.88}{3}\approx19250.29$ (rounded to the nearest hundredth).

Answer:

$19250.29$