Volume is a three-dimensional scalar quantity. The volume of the cylinder will be more than the volume of the cube by π times.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Let the edge length of the cube be 'a'.
As it is given that the diameter and height of a cylinder are equivalent to the edge lengths of a cube. Therefore, we can write,
Diameter of the cylinder = Height of the cylinder = a
Now, the volume of the cylinder can be written as,
[tex]\text{Volume of the Cylinder} = \pi r^2h = \pi \times a^2 \times a = \pi a^3[/tex]
The volume of a cube is the cube of the length of its side. Therefore, the volume of the cube will be a³.
Hence, the volume of the cylinder will be more than the volume of the cube by π times.
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