A container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius is 5 centimeters. To the nearest cubic centimeter, how many cubic centimeters can one container hold? Do not round calculations until the final answer.

Question

mathmale · Answer

Please realize that if you were to put together the two half spheres, the resulting geometric figure would be a complete sphere.  How would you find the volume of this sphere?  By all means, look up "volume of a sphere" if you need to.

Next, consider the cylinder, which would be open-ended in this case.  Imagine for a moment that the cylinder has flat ends.  What would the volume of this cylinder be?  Again, look up "volume of a cylinder" if need be.

Add together the volume of the sphere and the vol. of the cyl. to obtain the total vol. of this tank.