Calculate the Cubic Volume of Crushed Stone

A symmetrical running track is being constructed in the configuration and dimensions as shown.  The cubic volume (CY) of crushed stone is most nearly:

Solution: Since the running track is symmetrical, consider the computation steps to be the surface area of the circular ends and arrange the equations for the outside circular area minus the inside circular area, effectively a "donut" shape.

Circular area of the outer and inside circles:

A_Out = p 24² = 1809.56-ft²

A_In = p 12² = 452.39-ft²

A_net = 1809.56-ft² - 452.39-ft² = 1357.17-ft²

A_Track = (2) (12-ft) (250-ft) = 6000-ft²

A_Surface = 1357.17-ft² + 6000-ft² = 7357.17-ft²

V_Stone = 7357.17-ft² x 6-in = 136.24-yd³