Home > categories > Machinery & Equipment > Silos > How to find diameter when you know volume?
Question:

How to find diameter when you know volume?

A silo (cylinder on top of a cone) has a capacity of 144 cubic feet. What's the diameter?I need the equation, and answer if you can. Thanks!

Answer:

the volume of a cylinder is pi*r^2*h1 the volume of the cone is 1/3 pi*r^2*h2 where r = radius and h = height you need more information to determine what r, h1 and h2 are
So, the volume of the silo is the volume of the cylinder plus the volume of the cone: V = 1/3πr?h? + πr?h? 144 = 1/3πr?h? + πr?h? 144 = πr?(1/3h? + h?) r? = 144/π(1/3h? + h?) r = √[144/π(1/3h? + h?)] D = 2r = 2√[144/π(1/3h? + h?)] This is as far as I can go because I do not know the height of the cylinder or the cone. Hope this helps though.
the equation for a cone is the following: volume = (Pi*(d^2)*h)/12 where d is the diameter of the bottom of the cone and h is the height of the cone... hope this helps you...

Share to: