Calculation of Cylinder Volume
Table of Contents
Volume of a Cylinder
A cylinder is a cylindrical object with two circular flat ends and one curved side. It has the same cross-sectional area along the length of the shape. The formula and example calculations are shown further below in this article. πr2 x h
In reality, we see cylinders used in everyday life. They are metal cans, bins and other useful objects. This article includes two example calculations, which commonly come up in exams and is useful to know.
A classic example of cylinders are large water tanks, it is important to know how many liters can actually be filled and stored for use.
There are different types of right circular hollow cylinder, right circular cylinder and oblique cylinder. This article will go over volume examples of a right circular cylinder.
A cylinder is a cylindrical object with two circular flat ends and one curved side. It has the same cross-sectional area along the length of the shape.
The height is from the centre of the bottom face to the centre of the top face., and the radius is the distance between the centre of the end to the edge.
The volume is the surface area of one end multiplied by height.
Surface area of ends = πr2
Height = h
Total volume = πr2 x h
Formula for Volume of a cylinder = \(πr^2 \times h\)
Volume of Cylinder Example 1
A cylinder has radius of 10 cm and a height of 35 cm. What is the volume of the cylinder?
Solution:
The volume of a cylinder formula is πr2 x h
Volume = (π*102)*35 = 10,995 cm3
This can also be written as 0.011 m3 (10,995 multiplied by 10-6 to convert from cm3 to m3).
Note – remember to check units when calculating the cylinder volume.
Volume of Cylinder Example 2
A cylinder has radius of 150 mm and a height of 425 mm. What is the volume of the cylinder?
Solution:
The volume of a cylinder formula is πr2 x h
Volume = (π*1502)*425 = 30,041,480 mm3
This can also be written as 0.03 m3 (30,041,480 multiplied by 10-9 to convert from mm3 to m3).
Note – remember to check units when calculating the volume.