Question

how many spherical bolls can be made of a cube of side 44cm each boll with 2cm in radius​

Answer 1

Given:

☛ side of cube, s = 44 cm

☛ radius of ball, r = 2 cm

To Find:

☛ number of balls that can be made from the cube

Solution:

➜ Volume of Cube = Volume of All the Spherical Balls

☛ (Side)³ = n × { 4/3 × (πr³) }

☛ 44³ = n × { 4/3 × 8π }

☛ 85184 = n × { 32π / 3 }

☛ n = (85184 × 3) / 32π

☛ n = (2662 × 3 ) / π

take , π = 22/7

☛ n = 7986 / (22/7)

☛ n = 55902 / 22

☛ n = 2541

Hence, 2541 spherical balls can be made from a cube of side 44 cm.