Question 507779
I wish to have 5 cubic yards of dry sand delivered to my yard. 
How big (diameter and height of cone) will the pile of sand be?
:
Assuming the height of the pile is half the diameter (equal to the radius)
convert 5 cubic yds to cu/ft: 5*27 = 135 cu/ft
:
{{{1/3}}}{{{pi*r^3}}} = 135
multiply both sides by 3
{{{pi*r^3}}} = 405
{{{r^3}}} = {{{405/pi}}}
{{{r^3}}} = 129
Find the cube root of both sides
r ~ 5 ft
:
A pile with a 10 ft diameter and a height of 5 ft, for 5 cu/yds