The Diameter of the cylinder is 20 centimeters.
It is given that the cylinder has a volume of 2,512 cubic cm and a height of 8 centimeters.
It is required to find the diameter of the cylinder.
It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2h[/tex]
Where r is the radius of the cylinder and h is the height of the cylinder.
We have V = 2512 cubic centimeters and
h = 8 centimeters
[tex]\rm 2512 =3.14\times r^2\times8[/tex]
[tex]\rm \frac{2512}{3.14\times8} = r^2[/tex]
[tex]\rm r^2 =100[/tex]
r = 10 centimeters
Diameter = 2r = 2×10 ⇒ 20 centimeters.
Thus, the Diameter of the cylinder is 20 centimeters.
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