A metallic cylinder of diameter 5 cm and height 3 1/3cm ,is melted and casted into the sphere . Find the ratio of sphere.
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Given that
for cylinder
Diameter=5cm
radius=5/2cm=2.5cm(R)
Height = 3 1/3cm(h)
=10/3cm
for sphere
let r be the radius of sphere
metallic cylinder is melted and casted into sphere (given)
so
volume of metallic cylinder=volume of sphere
πR²h = 4/3πr³
π×2.5×2.5×10/3=4/3×π×r³
6.25×10=4r³
r³=62.5/4
r³=15.625
r= cube root of15.625
r=2.5 cm
Radius of sphere is2.5cm
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