The diameter of the cylinder is equal to 59.98 units.
Given the following data:
- Volume of cylinder = 33,912 [tex]unit^3[/tex]
- Height of cylinder = 12 units.
To determine the diameter of the cylinder:
First of all, we would find the radius of the circular base of this cylinder.
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]
Radius, r = 29.99 units.
For the diameter:
[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]
Diameter = 59.98 units.
Read more: https://brainly.com/question/1908836
