Twelve solid sphe

Given: A solid metallic cylinder of base diameter 2 cm and height 16 cm.

Twelve solid sphere of the same size are made by melting a solid metallic cylinder .

Let V1 be the volume of the cylinder

Volume of the cylinder is given by: π × r2 × h

V1 = π × 12 × 16 (diameter is 2cm, radius is 1cm)

Let V2 be the volume of the each Sphere.

Volume of the Sphere is given by: × π × r3 (where r is the radius of the sphere)

V2 = × π × r3

Here,

V1 = 12 × V2

π × 12 × 16 = 12 × × π × r3

r3 = = = 1cm

r = 1 = 1 cm

Diameter of the Sphere is 2 × r = 2 × 1 = 2cm

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