Find the height of a cylinder with a radius of 2 units and a volume of 44π cubic units.
Now, divide both sides of the equation by 4π to get rid of the 4π and get h alone on the right side of the equation. Let’s start with the right side. On the right you have 4π ⋅ h, and you’re dividing that by 4π. Since π is a number, it can be divided like any number. So, you can think of 4π ⋅ h divided by 4π as
4π
4π
·h.
r= 2Area Label Arrow
height = ?
Volume = 44π
Volume
=
Area of base ⋅ height
V
=
πr
2
·h
44π
=
π·2
2
·h
44π
=
π·4·h
44π
=
4π·h
4π
4π
?
=
11 units
This means that the height of the cylinder is 11 units.