Online Volume of Cylinder Calculator
How to use the ‘volume of a cylinder calculator’?
Follow these steps to use the ‘volume of a cylinder calculator’:
Step 1: Enter the two known measures out of radius, height, base area, or volume, into the respective input boxes, and the unknown measures will be calculated.
Step 2: Select the appropriate unit for the inputs and outputs.
Step 3: You can also select the desired value of ‘pi’ from the dropdown box. The values can be the following; it is either 3.14, \(\pi\), or \(\frac{22}{7}\).
Step 4: Now, click on ‘Solve’ to obtain the result.
Step 5: Click on the ‘Show Steps’ button to view the solution to find the missing measures, in a stepwise format.
Step 6: Click on the 
button to enter new inputs and start again.
Step 7: Click on the ‘Example’ button to play with random input values.
Step 8: When you click on the ‘Explore’ button you can see how the volume of the cylinder changes by changing the radius and height of the cylinder.
Step 9: When on the ‘Explore’ page, click the ‘Calculate’ button if you want to go back to the calculator.
What is the volume of a cylinder?
The volume of a cylinder is the amount of space occupied by the cylinder. If we take an example of a cylindrical tank, the amount of water that fills the tank to the brim represents the approximate volume of the cylindrical tank.
Formulas used in the ‘volume of cylinder calculator’
When the radius r and height h of the cylinder are known, the volume V and base area B of the cylinder are calculated as:
Volume of cylinder, V = \(\pi r^2h\)
Base area of cylinder, B = \(\pi r^2\)
When the volume V, and base area B of the cylinder are known, the radius r and height h of the cylinder are calculated as:
Volume of cylinder, V = B\(\times\)h
Therefore, height of cylinder, h = \(\frac{V}{B}\)
Base area of cylinder B = \(\pi r^2\)
Therefore, radius of cylinder, r = \(\sqrt{\frac{B}{\pi}}\)
When the base area B and height h of the cylinder are known, the volume V and radius r of the cylinder are calculated as:
Volume of cylinder, V = B\(\times\)h
Radius of cylinder, r = \(\sqrt{\frac{B}{\pi}}\)
When the radius r and volume V of the cylinder are known, the height h and base area B of the cylinder are calculated as:
Volume of cylinder, V = \(\pi r^2\)h
Therefore, height of cylinder, h = \(\frac{V}{\pi r^2}\)
Base area of cylinder, B = \(\pi r^2\)
When the height hand volume V of the cylinder are known, the radius r and base area B of the cylinder are calculated as:
Volume of cylinder, V = \(\pi r^2h\)
Therefore, radius of cylinder, r = \(\sqrt{\frac{V}{\pi h}}\)
Base area of cylinder, B = \(\frac{V}{h}\)
Solved Examples on Volume of a Cylinder Calculator
Example 1: Find the volume and base area of the cylinder of radius 7 cm and height of 15 cm. (Take \(\pi=\frac{22}{7}\))
Solution:
Volume of a cylinder, V = \(\pi r^2h\)
= \(\frac{22}{7}\times7^2\times15\)
= 2310 \(cm^3\)
Base area, B = \(\pi r^2\)
= \(\frac{22}{7}\times7^2\)
= 154 \(cm^2\)
So, the volume of the cylinder is 2310 cubic centimeters and the base area is 154 square centimeters.
Example 2: Find the height and radius of the cylinder whose base area is 54 square inches and the volume is 158 cubic inches. (Take \(\pi\) = 3.14)
Solution:
Height of the cylinder, h = \(\frac{V}{B}\)
= \(\frac{158}{54}\)
= 2.926 inches
Radius of the cylinder, r = \(\sqrt{\frac{B}{\pi}}\)
= \(\sqrt{\frac{54}{3.14}}\)
= 4.147 inches
So, the height of the cylinder is 2.926 inches and the radius of the cylinder is 4.147 inches.
Example 3: Find the radius and base area of a cylinder whose volume is 154 cubic meters and height is 7 meters.(Take \(\pi=\frac{22}{7}\))
Solution:
Radius of the cylinder, r = \(\sqrt{\frac{V}{\pi h}}\)
= \(\sqrt{\frac{154\times7}{22\times7}}\)
= \(\sqrt{7}\)
= 2.646 m
Base area of cylinder, B = \(\frac{V}{\pi h}\)
= \(\frac{154}{7}~m^2\)
= 22 \(m^2\)
So, the radius of the cylinder is 2.646 meters and the base area is 22 square meters.
Example 4: Find the height and base area of a cylinder whose radius is 14 centimeters and the volume is 380 cubic centimeters. (Take \(\pi=\frac{22}{7}\))
Solution:
Base area of cylinder, B = \(\pi r^2\)
= \(\frac{22}{7}\times14^2\)
= 616 square centimeters
Height of cylinder, h = \(\frac{V}{\pi r^2}\)
= \(\frac{380\times7}{22\times14^2}\)
= 0.617 centimeters
So, the base area of the cylinder is 616 square centimeters and the height of the cylinder is 0.617 centimeters.
Example 5: Find the radius and volume of a cylinder whose height is 21 cm and the base area of a cylinder is 502 square centimeters. (Take \(\pi\) = 3.14)
Solution:
Radius of cylinder, r = \(\sqrt{\frac{B}{\pi}}\)
= \(\sqrt{\frac{502}{3.14}}\)
= 12.644 cm
Volume of cylinder, V = B\(\times\)h
= 502\(\times\)21
= 10542 \(cm^3\)
So, the radius of the cylinder is 12.644 centimeters and the volume of the cylinder is 10542 cubic centimeters.
A cylinder has two circular bases and a curved surface. The faces do not meet. Hence, a cylinder does not have any vertices.
On the other hand, a cylinder has two edges where its curved surface and its circular bases meet.
The formula for curved or lateral surface area of a cylinder = 2πrh where, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder has two circular bases.
A hollow cylinder is empty from the inside. Consider a hollow cylinder with an outer radius R, an inner radius r and height h.
Volume of hollow cylinder = πR2h – πr2h