The volume of the cylinder that is not occupied by the sphere is 2πr³/3
Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.
<h3>What is volume of a cylinder?</h3>
The volume of a cylinder is given by V '= πr²h where
- r = radius of cylinder and
- h = height of cylinder.
Since the height of the cylinder equals the diameter of the sphere, h = 2r
So, V' = πr²h
V' = πr² × 2r
V' = 2πr³
<h3>What is volume of sphere?</h3>
The volume of a sphere of radius r is given by V = 4πr³/3
<h3>Volume of cylinder not occupied by sphere</h3>
The volume of the cylinder not occupied by the sphere is V" = V' - V
= 2πr³ - 4πr³/3
= (6πr³ - 4πr³)/3
= 2πr³/3
So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3
Learn more about volume of cylinder here:
brainly.com/question/27535498
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