Question

A cube of side 21 cm contains a sphere touching its sides. Find the volume of
the gap in between​

Answer 1

Answer:

Step-by-step explanation:

volume of cube=4×4×4=64

as the sphere touches the side of the cube

dia=4

radius=2

volume f sphere=4/3Лr²=33.51cm³

hence volume of the gap=v of cube-v of sphere

64-33.51=30.49cm³

Answer 2

Step-by-step explanation:

volume of gap = V cube - V sphere

V cube = 21³ => 9261 cm³

V sphere = 4/3 π r³ = 4/3 × 22/7 × 10.5³

=> V sphere = 88/21 × 10.5³

=> V sphere = 4851 cm³

therefore V gap = 9261 - 4851

=> 4410 cm³