A cylinder is the most common curvilinear geometrical shape. A cylinder consists of two bases and two edges and three faces. It is a three dimensional solid object. This article on how to calculate volume of cylinder will help you in using the simplest method to know how to calculate volume of a cylinder.
We calculate the volume of cylinder using a formula and the formula for calculating volume of cylinder is given as,
Volume of cylinder = π r2 h
This formula is devised by Riemann sums.
In the above formula,
- “π” is a constant whose value is 22/7 or 3.14. We usually use 3.14.
- “r” is the radius of the base of the cylinder.
- “h” is the height of the cylinder.
The unit for measuring volume of a cylinder is cubic units.
- To calculate the volume of the cylinder, calculate its radius and height. If you are already given the values of the radius and height of the cylinder you need not calculate them once again.
- The radius of the cylinder can be the measure of the radius of any of the two bases of the cylinder as the dimensions of both the bases of the cylinder are same.
- The height of the cylinder is the measurement of the distance between the two bases of the cylinder or it is the height along the axis of the cylinder.
Example:
Suppose you have been given a cylinder whose radius is 3 cm and whose perpendicular height is 10 cm and you have to calculate the volume of the cylinder.
Radius = r = 3 cm
Height = h = 10 cm
Therefore,
Volume of cylinder = π r2 h
= 3.14 × 32 × 10
= 282.6 cm3
You can also use online calculators for calculating volume of a cylinder. Conversion factors between various units of measurement are also available online, you can use them.
Practice examples:
- Calculate the volume of cylinder whose radius is 4 m and height is 20 cm.
- Calculate the volume of cylinder whose radius is 6 m and height is 22.22 m.
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