Homework Help: Math

Posted by Theresa on Wednesday, August 15, 2012 at 5:28pm.

The shorter edges of a 44cm x 25cm metal sheet are joined to form the curve surface of a cylinder. What is the volume of the cylinder? What is the area of metal sheet required to make the top and the bottom cylinder?

Math - Damon, Wednesday, August 15, 2012 at 5:46pm
h = 25
2 pi r = 44
so r = 22/pi

pi r^2 h = V = pi (22/pi)^2 (25)

area top = pi r^2
area bottom = pi r^2
so
area needed = 2 pi r^2 = 2 pi (22/pi)^2

Now of course sheets of metal usually come rectangular, not circular, so in real life some will get wasted.

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