Question

two cylinders of height 3 m and radius 1 m are melted to form n number of spherical balls of radius 10 cm. Find n:

Answer 1

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Answer 2

radius of bigger sphere(R) = 3 cm

radius of smaller balls(r) = 0.6/2 = 0.3 cm

let the number of small balls = n

n×volume of a small balls = volume of bigger sphere

n*4/3πr³ = 4/3πr³

n = R³/r³

n = (R³/r³) 

n = (3/.03)³ = (10)³

n = 1000