Saturday, June 22, 2013

Find the circumferece of the base of a cylinder whose volume is 36 and height 4

The volume of the cylinder = 36 and its height = 4. We have to
find the circumference of the cylinder:


The volume V of a cylinder
is given by :


V = Pi*r^2*h, where r is radius of the cylinder and h
is the height of the cylinder.


Put the given values  V = 36 and h
= 4 to find the radius r in Pi*r^2*h = V.


pi* r^2*4 =
36.


Therefore r^2 = 36/4pi =
9/pi.


Thetrefore r = sqrt(9/pi)  =
3/sqrtpi.


Therefore  the corcumference of the cylinder = 2pi*r = 2p*
(3/sqrtpi) = 6 sqrtpi = 10.6347 nearly.


Therefore the circumference
of the cylinder = 10.6347 nearly.

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