1.

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 ?

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 

THEREFORE diameter is 3 CMS

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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