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 radius2 )
= 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 400cm3 if its radius is 5cm, calculate the height of the container.
Height = Volume ÷ ( π x radius2 )
= 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 radius2 )
= 1,540 ÷ (22/7 x 7 x 7)
Hence, the height of the cylinder is 10meters.
