If volume of cylinder is 900cm² with height of 20cm then diameter of cylinder is

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.