How much sand is in the pile?

Question

A construction company wants to know how much sand is in a cone-shaped pile. The company measures that the (slanted) distance from the edge of the pile at the ground level to the very top of the pile is 55 feet. The company also measures that the distance around the pile at the ground level is 220 feet. How much sand is in the pile?

Answer 1

1) Determine the radius - r: 220 = 2πr

2) Determine the height - h: √(s² - r²), s = slant height

3) Use the formula: V = (1/3)πr²h