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

Given: length of a side of a cube “a” =4cm

Thus, Volume of a cube = a3

Where a = side of a cube

Thus, Volume of a cube = (4)3 = 64 cm3

Now, given that A cube contains a sphere touching side of a cube, Now, By the figure drawn above, we can say that

Diameter of a sphere = side of a cube = 4cm  Where, r = radius of a sphere

Thus, Volume of a gap in between cube and sphere = Volume of a cube –

Volume of a sphere

Volume of a gap in between cube and sphere = (64 – 33.52)cm3

Volume of a gap in between cube and sphere = 30.48 cm3

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Quiz | Surface Area & Volumes49 mins  Surface Area of Right Circular Cylinder52 mins  Surface Area and Volume of Right Circular Cylinders42 mins  Surface Area and Volume of Spheres40 mins  Surface Area and Volume of Right Circular Cone37 mins  Surface Area of Right Circular Cylinder49 mins  Surface Area of Cube and Cuboid49 mins  Quiz | Area of Parallelogram and Triangles43 mins  Champ Quiz | Area of Triangle53 mins  Champ Quiz | Area of Parallelogram55 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 