Prior to discussing how to calculate how to calculate height of a cylinder from volume, lets define a cylinder. A cylinder is a three-dimensional solid that has two parallel bases that are usually circular and are connected by a curved surface.

**From the formula to calculate the volume of a cylinder**;

If we make height the subject we get;

**Example 1:**

Calculate the height of a cylinder whose volume is 30 cm³ and its radius is 5cm.

Therefore, the height of the cylinder is 0.38cm.

**Example 2:**

Suppose you are know the radius of your circular pool to be 49m, if the volume is 23,716m. What is the height of your pool?

**Height = Volume ÷ ( π x radius ^{2} )**

**= 23,716 ÷ ( ^{22}/_{7} x 49 x 49)**

**Therefore, the height of your pool is 3.1 meters.**

**Example 3:**

A canned food container has a volume of 400cm^{3} if its radius is 5cm, calculate the height of the container.

**Height = Volume ÷ ( π x radius ^{2} )**

**= 400 ÷** **( 3.142 x 5 x 5 )**

**= 5.09 cm**

**Example 4:**

Find the height of a cylinder whose volume is 1,540m, if its radius is 7m.

**Height = Volume ÷ ( π x radius ^{2} )**

**= 1,540 ÷ ( ^{22}/_{7} x 7 x 7)**

Hence, the height of the cylinder is 10meters.