A cube of side 4 cm contains a sphere touching its side. Find the volu

1.	A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Answer» Volume of a cube = side³ Volume of a sphere = \(\frac{4}{3}\)πr³ Given, cube of side 4 cm contains a sphere touching its side Radius of the sphere = \(\frac{4}{2}\) = 2 cm Volume of the gap in between = 4³ - \(\frac{4}{3}\)π × 2³ ⇒ Volume of the gap in between = 30.48 cm³

A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

Answer»

Volume of a cube = side³

Volume of a sphere = \(\frac{4}{3}\)πr³

Given,

cube of side 4 cm contains a sphere touching its side

Radius of the sphere = \(\frac{4}{2}\) = 2 cm

Volume of the gap in between = 4³ - \(\frac{4}{3}\)π × 2³

⇒ Volume of the gap in between = 30.48 cm³