A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.
Answers
Given : Side of a cube = 4 cm
Diameter of a sphere ,d = Side of a cube = 4 cm
Radius of a sphere ,r = d/2 = 4/2 = 2 cm
Volume of the gap in between = Volume of a cube - Volume of a sphere
= Side³ - 4/3πr³
= 4³ - (4/3)π × 2³
= 64 - 4/3 × 22/7 × 8
= 64 - 88 × 8/21
= 64 - 704/21
= 64 - 33.52
= 30.48 cm³
Hence, the volume of the gap in between is 30.48 cm³
HOPE THIS ANSWER WILL HELP YOU…..
Similar questions :
A sphere, a cylinder and a cone have the same diameter. The height of the cylinder and also the cone are equal to the diameter of the sphere. Find the ratio of their volumes.
https://brainly.in/question/15912586
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?
https://brainly.in/question/15912574
Answer:
Step-by-step explanation:
= Side³ - 4/3πr³
= 4³ - (4/3)π × 2³
= 64 - 4/3 × 22/7 × 8
= 64 - 88 × 8/21
= 64 - 704/21
= 64 - 33.52
= 30.48 cm³