Question

How many spherical balls of 20mm diameter can be made from a spherical ball of 16cm diameter 20mm? ​

Answer 1

Hey!

• Diameter of each n spherical ball = 20 mm = 2 cm

• Radius = 1 cm

• Diameter of big spherical ball = 16 cm

• Radius = 8 cm

• Total balls = n

We know that;

• Volume of big spherical ball = Volume of small spherical valld*n

• 4/3 πR³ = 4/3 πr³ * n

• R³ = r³ * n

• (8)³ = (1)³ * n

• n = 512

Hope it helps!