A cylinder has a volume of 175pi cubic units and a height of 7 units. The diameter of the cylinder is

Hello!

The volume of a cylinder is found by using the formula: V = πr²h.

In this formula, V is volume, r is the radius, and h is the height.

Since we are given the height and the volume, we can find the radius, and then we will multiply the radius by two because the radius of a circle is half of its diameter.

1. Find the radius

175π = πr² (7) (divide both sides by π)

175 = 7r² (divide both sides by 7)

r² = 25 (take the square root of both sides)

r = 5

The radius of the cylinder is 5 units.

2. Find the diameter

5 units * 2 = 10 units

Therefore, the diameter of the cylinder is 10 units.