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A Cylinder Is 6 Cms In Diameter And 6 Cms In Height. If Spheres Of The Same Size Are Made From The Material Obtained, What Is The Diameter Of Each Sphere ? |
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Answer» The volume of the cylinder is PI x r^2 x h = Pi x 3^2 x 6 = 54Pi Volume of a cylinder is 4/3 x Pi x r^3 Now 54Pi = 12 x 4/3 x Pi x r^3 54 = 16 x r^3 r^3 = 54/16 = 27/8 r = 3/2 The volume of the cylinder is Pi x r^2 x h = Pi x 3^2 x 6 = 54Pi Volume of a cylinder is 4/3 x Pi x r^3 Now 54Pi = 12 x 4/3 x Pi x r^3 54 = 16 x r^3 r^3 = 54/16 = 27/8 r = 3/2 Therefore diameter is 3 cms |
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