Sylvia has just discovered that the valve on her cement truck failed during the night and that all the contents ran out to form a giant cone of hardened cement. To make an insurance claim, she needs to figure out how much cement is in the cone. The circumference of its base is 44 feet, and it is 4 feet high. Calculate the volume to nearest cubic foot.

Answer 1

To calculate the volume of a cone, you can use the formula: V = (1/3) * π * r^2 * h, where r is the radius of the base, h is the height of the cone.

First, find the radius of the base by dividing the circumference by 2π:
r = circumference / (2 * π) = 44 / (2 * 3.14) ≈ 7 feet

Now, substitute the values of r and h into the volume formula:
V = (1/3) * π * 7^2 * 4 = (1/3) * 3.14 * 49 * 4 ≈ 205.28 cubic feet

Therefore, the volume of the cement cone is approximately 205 cubic feet.