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A page measuring x by y is curved around to make an open cylinder with height y. Find...
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High School Teacher
To determine the volume, apply the formula:
Since the height of the cylinder formed is y, plug-in h=y to the formula.
To determine the r, refer to the figure below. Notice that the side x in the rectangle is the perimeter of the base of the cylinder.
Since the base of a cylinder is a circle, apply the formula:
Then, plug-in P=x.
And divide both sides by 2pi.
Now that r is expressed in terms of x, plug-in this to V.
Hence, the volume of the cylinder formed is `V=(x^2y)/(4pi)` .
Posted by mjripalda on July 7, 2013 at 2:34 AM (Answer #1)
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