An industrial propane tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The length of the cylindrical portion of the tank is two times the radius of the hemispherical components (see figure). (Let L = 2r.)
Write a function that represents the total volume V of the tank in terms of r.

Question

An industrial propane tank is formed by adjoining two hemispheres to the ends of a right circular cylinder. The length of the cylindrical portion of the tank is two times the radius of the hemispherical components (see figure). (Let L = 2r.)
Write a function that represents the total volume V of the tank in terms of r.

anonymous · Answer

Okay, well all you need is 2 formulas. First find the volume of the cylendar, then find the volume of the 2 hemispheres which make a full sphere and add them together. The formula for a calendar is 2 * pi * radius * length ( which in this case is 2 times the length, a.k.a the diameter) then you figure out the volume of the two combined hemispheres ( which is a full sphere) and the equation is 4/3 * pi *( radius^3.

So the equation would be pi * radius^2 * 2radius + 4/3 * pi * radius^3 to get the volume of the object. I can only give direction, not answers though.