Q. 14.2( 4 Votes )

# Find the number o

Answer :

Given: Diameter of each solid sphere = 6 cm

Radius of each sphere = 6/2 = rs = 3 cm

Diameter of cylinder = 4 cm

Radius of cylinder = 4/2 = rc = 2 cm

Height of cylinder = h = 45 cm

Formula: volume of sphere = (4/3) × π × rs3

Volume of cylinder = π × rc2 × h

Spheres are moulded to form cylinder which means the volume remains the same

Let ‘n’ be the number of spheres required

i.e. volume of n spheres = volume of cylinder

n × (4/3) × π × 33 = π × 22 × 45

n × 4 × 27 = 4 × 3 × 45

n = 45/9 = 5

Number of solid spheres made = 5

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