Question

a cylindrical barrel has a height of 8 feet and a diameter of 6 feet. what is the approximate volume of the barrel?
151 cubic feet
226 cubic feet
603 cubic feet
905 cubic feet
graphing calculator

Explanation:

Step1: Calculate the radius

The radius $r$ is half the diameter:
$r = \frac{6}{2} = 3$ feet

Step2: Apply cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$. Substitute $r=3$, $h=8$, and use $\pi \approx 3.14$:
$V \approx 3.14 \times 3^2 \times 8$

Step3: Compute the result

First calculate $3^2=9$, then:
$V \approx 3.14 \times 9 \times 8 = 3.14 \times 72 = 226.08$

Answer:

226 cubic feet