how to find out height when you have radius and volume of a cylinder
To find out the height of a cylinder given the radius and volume, you can use the formula for the volume of a cylinder. The volume of a cylinder is calculated by multiplying the base area (πr^2) by the height (h).
So, the formula for the volume of a cylinder is:
Volume = πr^2h
To find the height, you need to rearrange the formula:
h = Volume / (πr^2)
Here's an example:
Let's say the radius of the cylinder is 3 units and the volume is 30 cubic units.
1. First, calculate the base area.
Base area = πr^2
Base area = π(3^2)
Base area = π(9)
Base area ≈ 28.27 square units
2. Use the formula to find the height.
h = Volume / base area
h = 30 / 28.27
h ≈ 1.06 units
Therefore, the height of the cylinder is approximately 1.06 units.