<PRE><B>Question 125931</B>
{{{1/3*pi*r^2*h}}} = Formula for the volume of a cone  
{{{x^3}}} = Formula for the volume of a cube 
Before we plug numbers into these formulas it is important to note that the units used for the cone&#39;s dimensions are in meters and the units for the cube are represented in centimeters. Therefore, we must convert centimeters to meters.
1 cm = 1/100 m 
30 cm = 30/100 or 3/10 or .3m

1. Find the volume of the cube:
   {{{x^3}}} = {{{.3^3}}} = {{{.3*.3*.3}}} = {{{.027m^3}}}
2. Find the volume of the cone:
   {{{1/3*pi*r^2*h}}} = {{{1/3*pi*3^2*7.5}}} = {{{70.69m^3}}}
3. To determine how many cubes will fit into the cone:
   {{{Volume of Cone/Volume of Cube}}} = {{{70.69/.027}}} = 2618.14 
   Answer: 2618 cubes will fit into the cone.

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