There are two cylinders. One with the height of 4 cm and the other with the height of 16 cm. These cylinders are made from a sheet of paper with a fixed perimeter of 40 cm (4 cm x 16 cm).

Q1) Work out the volume of each potential cylinder.

Q2) What dimensions should the paper have so that it can make a cylinder of the maximum possible volume?

Question

There are two cylinders. One with the height of 4 cm and the other with the height of 16 cm. These cylinders are made from a sheet of paper with a fixed perimeter of 40 cm (4 cm x 16 cm).

Q1) Work out the volume of each potential cylinder.

Q2) What dimensions should the paper have so that it can make a cylinder of the maximum possible volume?

hero · Answer

Are you in calculus?

anonymous · Answer

Uh.. Not really just a normal math lesson :P

hero · Answer

Okay, so do you have any idea how to start this?

anonymous · Answer

Well, I suppose I need to figure out the radius of the cylinder? To figure out the volume?

anonymous · Answer

Okay I have figured out the answer to the first question - the first cylinders volume is 256/pi and the second cylinders volume is 128/pi. Now how do I figure out the second question?