Question

A city has just bought a new load of salt to spread on the roads for snow melting. When the load was delivered, it was put into a pile that was roughly cone-shaped. The pile was 70 feet tall and had a circumference at the base of about 704 feet. What is the volume of the pile in cubic feet? Round to the nearest cubic foot.

Answer 1

The volume of the cone-shaped pile of salt is approximately 1,109,810 cubic feet.

Step-by-step explanation:

To find the volume of a cone-shaped pile, you can use the formula V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height.

First, we need to find the radius of the base. The circumference of the base is given as 704 feet, so we can use the formula for the circumference of a circle, C = 2πr, to solve for r. Dividing both sides of the equation by 2π, we get r = C/2π = 704/2π ≈ 112 feet.

Now, we can plug in the values of r and h into the volume formula. V = (1/3)π(112^2)(70) ≈ 1,109,810 cubic feet. Rounded to the nearest cubic foot, the volume of the pile is approximately 1,109,810 cubic feet.