Planning & EstimatingQuestion 582 of 700

A round drilled pier is 24 inches in diameter and 18 ft deep. Using pi = 3.1416, what is the APPROXIMATE volume of concrete required to fill it?

a.8.4 cubic yards
b.2.1 cubic yards
c.56.5 cubic yards
d.1.05 cubic yards

Explanation

A 24-inch diameter is a 12-inch (1 ft) radius. Volume = pi x r^2 x h = 3.1416 x 1^2 x 18 = 56.55 cubic feet. Divide by 27: 56.55 / 27 = 2.09, about 2.1 cubic yards (b). Option (a) wrongly uses the diameter (2 ft) as the radius. Option (c) forgets to divide by 27. Option (d) uses only half the depth.

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