a mettalic cylinder of diameter 5cm and height 3 1/3cm is melted and cast into a sphere what is its diameter
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Radius of cylinder = 5/2 = 2.5 cm
Height = 3 1/3 cm = 10/3 cm
Let radius of cylinder be x cm
Therefore,
Volume of cylinder = Volume of cone
=> π*(2.5)^2*10/3 = 4/3*π*x^3
=> x^3 = (2.5*2.5*10*3)/3*4
=> x^3 = 15.625
=> x = 2.5 cm
Therefore, diameter of sphere = 2x = 2*2.5 = 5 cm
Height = 3 1/3 cm = 10/3 cm
Let radius of cylinder be x cm
Therefore,
Volume of cylinder = Volume of cone
=> π*(2.5)^2*10/3 = 4/3*π*x^3
=> x^3 = (2.5*2.5*10*3)/3*4
=> x^3 = 15.625
=> x = 2.5 cm
Therefore, diameter of sphere = 2x = 2*2.5 = 5 cm
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