# A cube of side 4

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
Elections- Mechanism and Types48 mins
Kinetic and Potential Energy39 mins
Constitution - Formation and Objective63 mins
Construction-244 mins
Construction-145 mins
PYQ's Practice -Construction47 mins
Conservation of Energy41 mins
Probability-246 mins
Introduction to Lines and Angles60 mins
Speed and Velocity42 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
RELATED QUESTIONS :

The dimensions ofRD Sharma - Mathematics

Three equal cubesRD Sharma - Mathematics

The length of theRD Sharma - Mathematics

If V is thRD Sharma - Mathematics

A rectangular tanRD Sharma - Mathematics

Given that 1 cubiRD Sharma - Mathematics

The breadth of a RD Sharma - Mathematics

A box with lid isRD Sharma - Mathematics

A cubical vessel RD Sharma - Mathematics