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Find the volume of circular cylinder of height 4 cm whose total surface area is 484 sqcm?
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
What else can I help you with?
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Make the height the subject of the fornula for the volume or surface area of the cylinder
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What are the properties of a cylinder filled with water?
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A cylinder with a surface area of 200cm2 and a height of 20cm has a volume of about 137.96cm3
How do you find the height of a cylinder when volume and area are given?
Make the height the subject of the fornula for the volume or surface area of the cylinder
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pi * radius2 * height
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The volume is 8.37758 cubic feet.
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