SOLUTION: hi. can you help me to solve this problem.? thanks a lot A propane tank is constructed by welding hemispheres to the ends of a right circular cylinder. Write the volume V of the t

Algebra ->  Volume -> SOLUTION: hi. can you help me to solve this problem.? thanks a lot A propane tank is constructed by welding hemispheres to the ends of a right circular cylinder. Write the volume V of the t      Log On


   

Question 273139: hi. can you help me to solve this problem.? thanks a lot
A propane tank is constructed by welding hemispheres to the ends of a right circular cylinder. Write the volume V of the tank as a function of r and l, where r is the radius of the cylinder and hemispheres, and l is the length of the cylinder.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The volume of a sphere of radius is given by:



Each hemisphere is half of that volume, but you have two hemispheres, so you have one whole sphere.

The volume of a cylinder with radius and length is:



The total volume is the sum of the two:



Which can be left as it is or manipulated as desired. I would use:



or perhaps




John