Question

what is the total volume of a cylindrical drum with a diameter of 8 feet and a height of 12 feet? (select the answer closest to yours.) 2,412 ft³ 603 ft³ 1,357 ft³ 942 ft³

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 8$ feet, so $r=\frac{d}{2}=\frac{8}{2}=4$ feet.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ feet and $h=12$ feet into the formula. So $V=\pi\times4^{2}\times12=\pi\times16\times12 = 192\pi$ cubic - feet.

Step3: Calculate the numerical value

Taking $\pi\approx3.14$, we have $V\approx192\times3.14 = 602.88\approx603$ cubic - feet.

Answer:

603 ft³