One cubic foot of sand weighs about 100 pounds. Approximate the weight of the cone-shaped pile of sand. Round your answer to the nearest hundred pounds.

One cubic foot of sand weighs about 100 pounds Approximate the weight of the coneshaped pile of sand Round your answer to the nearest hundred pounds class=

Respuesta :

To find the weight of this sand you will use the formula for finding the volume of a cone and then multiply this by 100.  The volume will give us the number of cubic feet.

V = 1/3 x B x h (B is the area of the circle)
V = 1/3 x (pi x r^2) x h
      1/3 x 3.14 x 3.75^2 x 4.5
V = 66.23 cubic feet

66 cubic feet x 100 = 6600 pounds

The sand weighs approximately 6600 pounds.