Find the height of a cylinder whose volume is 100 cm^3 and the circumference is 10 cm.

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We know that the volume of the cylinder is:

V = pi*r^2 * h    (where r is the radius and h is the height)

100= pi*r^2*h

But we know that the circumference (c) = 10= 2*pi*r

==> r= 10/2*pi= 5/pi

Then:

100 = pi*(25/pi^2)*h

100= 25/pi ) h

==> h=...

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We know that the volume of the cylinder is:

V = pi*r^2 * h    (where r is the radius and h is the height)

100= pi*r^2*h

But we know that the circumference (c) = 10= 2*pi*r

==> r= 10/2*pi= 5/pi

Then:

100 = pi*(25/pi^2)*h

100= 25/pi ) h

==> h= 100*pi/25= 4*pi   (pi=3.14)

==> h= 4(3.14) = 12.56 cm.

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