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Find the volume of circular cylinder of height 4 cm whose total surface area is 484 sqcm?
Wiki User
∙ 14y ago
In order to find the volume we must first find the radius. Let the radius be r:
(2*pi*r*4)+(2*pi*r2) = 484
Divide all terms by 2*pi
r*4 +r2 = 77.03099246
Rearrange into a quadratic equation:
r2+4r-77.03099246 = 0
Solve by using the quadratic equation formula:
r = -11.00172164 or r = 7.001721639 so it must be the latter as the radius can not be negative.
Substituting the value of r into the original equation produces 484.0000001 which will suit our needs.
Volume = pi*r2*4 => 616.0550839 cubic centimeters
Wiki User
∙ 14y ago
Anonymous
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