Question

A metallic cylinder of diameter 5 cm and height 31/3cmis melted into sphere. What is its diameter

Answer 1

given,
radius of cylinder=2.5
height of cylinder=31/5

volume of cylinder is equal to volume of sphere
∴pie r² h=4/3 pie r³
         r²h=4/3r³
            h=4/3r
       31/5=4/3 r
             r=3.15cm
∴ diameter=3.15*2
                 =6.3cm