Find the volume of this cylinder.
We can find the volume of a cylinder by multiplying the area of its base by its height. We don’t know the area of its base, so we can use the formula A=πr
2
to find it. Start by recording the radius and the height in the equation.
6 ft
5 ft
V = B · h
Volume = Area of base · Height
= πr
2
· h
= π(
)
2
·
Great job!
Keep going. Square the radius, 6, by multiplying 6 by itself. What is the area of this base, in terms of π?
6 ft
5 ft
V = B · h
Volume = Area of base · height
= πr
2
· h
= π(6)
2
· 5
= π ·
· 5
= 36π ft²
Now, multiply the area of the base by the height to find the volume of the cylinder:
V = 36π ft² * 5 ft = 180π ft³
Therefore, the volume of the cylinder is 180π cubic feet.