Question 14315
You are given the volume of the cone-shaped pile of sand as V = 5.4 m^3 and the area of the base of the cone as A = 8.1 m^2.

Start with the formula for the volume of a right-circular cone:

{{{V = (1/3)Ah}}} But A = 8.1 m^2 and V = 5.4 m^3

{{{5.4 = (1/3)8.1h}}} Divide both sides by 8.1
{{{5.4/8.1 = (1/3)h}}} Multiply both sides by 3.
{{{3(5.4)/8.1 = h}}}
{{{h = 2}}}

The pile of sand is 2 meters high.