Hello!
Before finding the diameter, we need to know the formula for the volume of cylinder. The volume of cylinder is found by using this formula: V = πr²h. In this formula, r is the radius and h is the height.
Since we have the height and volume, we need to find the radius, and then we can find the diameter.
900 = πr²(20) (divide both sides by 20)
45 = πr² (divide both sides by π)
45/π = r² (take the square root of both sides)
r ≈ 3.784 | The radius of the cylinder is equal to about 3.784 centimeters.
To find the diameter, we need to multiply the radius by 2 because half a diameter is equal to the radius.
3.784 × 2 = 7.568 centimeters | This can be rounded to about 7.57 centimeters.
Therefore, the diameter of the cylinder is equal to about 7.57 centimeters.