formula for finding volume of sand pile?

Answer 1

I assume it would be the same as the volume of a cone, which is:

(pi/3)*radius^2 * height.

radius is the 1/2 the diameter of the base of the cone

Answer 2

a very interesting question !


It depends on the measure of the pile


But also how long has the pile be like this ?
the denisity of the sand


I will go for this :

assume the surface is a cricle, measure its radius r
assume its cone like pile , meaure the height : h

then the volume = 1/3 π r^2 h

you can adjust this with a factor 0 < f <= 1 for the density of the sand , because you dont want to count the space between the sand grains a volume ( i wont pay for it ! )

May I ask you why you want to know this ?

Are you working in the sand industry ?

Answer 3

It depends on the shape of your sand pile. If you were making a sand castle, -- usually, you have a pile in the shape of your sand PAIL which is close to the shape of a right cylinder. Then the volume is approximately V = area of the bottom circle x the height of the cylinder or V = pi x r^2 x h

If it is a cone shaped pile then it is one third (1/3) of the value of the volume above.

If it is a rectangular bed, then the
volume is just length x width x height.

Answer 4

Usually Sand Pile are conical in shape,

So, Volume, V = 1/3(pi)(r)^2(h)

Answer 5

I would approximate the cross section of the sand pile with a parabola. That may not be the actual shape but it certainly is more like the shape of the pile than a cone. That is as far as I have thought. There is probably an analytical geometry method for taking some measurements of the the pile and picking a parabola that is close to the right shape.

Answer 6

assume it would be the same as the volume of a cone, which is:

(pi/3)*radius^2 * height.

radius is the 1/2 the diameter of the base of the cone