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.