Adam S. answered • 09/02/16

Professional and Proficient Math Tutor

V = πr

^{2}h, is the volume of a cylinder, where r = radius,h = height of cylinderthe thickness of the material is 1/2 inch. Therefore, we must remove the hollow section of the cylinder inside. We do this by subtracting the smaller cylinder. The height of the cavity will be h - 2t and the radius will be r - t.

Therefore the equation for the volume of the steel is:

V = πr

^{2}h - π(r - t)^{2}(h - 2t), where t = thickness of steel.W = Vd, where d = density of the plain carbon steel.

d can be looked up in a materials table.

note: make sure all the units are compatible, density should be in pounds/square inch. If not make sure to convert. For example, if the density is given as 2 lbs/ft

^{2 }convert by multiplying by 1ft^{2}/144in^{2}. Also do not confuse mass with weight. mass is a measure of the quantity of matter, while weight is a measure of the force of a mass due to gravity. Grams are not the same as Newtons and pound mass is not the same as pound force.