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Volume of a cylinder calculator is a free online tool that helps us calculate the volume of a cylinder, as well as its radius, height and base area. Let us familiarize ourselves with using the calculator....Read MoreRead Less

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.

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.

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 = \(\frac{V}{h}\)

**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.

Frequently Asked Questions on Volume of a Cylinder Calculator

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 = πR^{2}h – πr^{2}h