Question

A metallic cylinder of diameter 5 cm and height 3 1/3cm ,is melted and casted into the sphere . Find the ratio of sphere.
​

Answer 1

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