# How to find the Volume of a Cylinder: A Quick Explanation

Get the free How to find the Volume of a Cylinder worksheet and other resources for teaching & understanding How to find the Volume of a Cylinder

**The Short Explanation for finding the Volume of a Cylinder**

Finding **Volume of a Cylinder** can be completed easily by using the formula and following correct order of operations. The first step in finding **Volume of a Cylinder** is understanding that you are multiplying the area of the base by the height of the cylinder. The base happens to be a circle so you must use the Area of a Circle formula to calculate the area of the base. Be sure to remember that the radius is equal to half of the diameter. Once you know the area of the base, you must multiply it by the height of the cylinder. The final step for finding** Volume of a Cylinder** is to follow order of operations and simplify the equation.

**Common Core Standard: **8.G.C

**Basic Topics:**

**Related Topics: **Pythagorean Theorem, Parallel Lines Cut by a Transversal, Triangle Angle Sum, Exterior Angle of a Triangle, Volume of a Cone, Volume of a Sphere

**How to use the Volume of a Cylinder Formula**

Discovering Volume of a Cylinder can be solved effortlessly by using and following right series of tasks. The first part in discovering Volume of a Cylinder is understanding that you are finding the area of the base and the height of the cylinder. The base happens to be a circle so you should utilize the Area of a Circle equation to figure the area of the base. Remember that the radius is equivalent to half of the diameter. When you know the area of the base, you should multiply it by the height of the cylinder. So how to find the height of a cylinder if you don’t know it? You look for the dashed line which shows the height. The last step for discovering Volume of a Cylinder is to multiply everything together.

**5 Easy Steps for ****Solving Volume of a Cylinder Example Problems**

- In order to solve for Volume of a Cylinder you must know that the volume is equal to the base times the height.
- The base is equal to a circle so you use the area of a circle formula to find the area of the base.
- The height is equal to how tall the cylinder is.
- You substitute in the radius of the cylinder for
*r*, and the height of the cylinder for*h*. - Multiply everything together in your calculator being sure to use the correct units.

**Volume of a Cylinder Practice Problems Quiz**

**Watch our video where we complete our Volume of a Cylinder Worksheet**

Watch our free video on **How to find the Volume of a Cylinder.** This video shows how to solve problems that are on our free **Volume of Cylinder **worksheet that you can get by submitting your email above.

**Watch the free How to find the Volume of a Cylinder video on YouTube here:** **How to find the Volume of a Cylinder**

**Video Transcript:**

This video is about how to find volume of a cylinder and we’re going to use our volume of a cylinder practice worksheet with answers in order to show you how to do that.

Here we are at the first problem on our volume of cylinder worksheet 8th grade. In order to find the volume of a cylinder you have to find the area of the base and multiply it times the height of the cylinder. In terms of our cylinder here in order to find the area of the base the base is in the shape of a circle. So in order to find the area of the base you have to use the area of a circle formula which is PI R squared. That’s the area of the base and then you have to multiply that times the height and in the case of this example or really all examples the height is always just the height of the cylinder. We’ll just call it H so our formula for volume cylinder is the area of the base which in this case is a circle multiplied times the height. In order to simplify this what you’re going to do is you’re going to find the radius which is R and you’re going to find the height which is H. In terms of the radius all you have to do is look at our circle and our sphere here is labeled that’s our radius and our radius is seven inches. We know that the radius is seven and then our height which is here is 11. We know our height is 11 inches so in order to solve this what you’re going to do is substitute in R or seven for radius and 11 for height and then you’re going to simplify. Volume will be pi times the radius which is seven squared times the height which is 11. The final step is to simplify. You will do pi times 7 squared times 11 which is 1690 3.32 inches because that’s our unit cubed and that’s our answer.

Moving onto the next volume of a cylinder problems on how to find the volume of a cylinder we are going to use our volume of a cylinder formula which we went over in the first problem. We know that volume is the area of the base which is PI R squared times the height. We already know the formula and we’re going to substitute in what they give us in this problem for the radius and for the height. The easiest one in this example to substitute in for would be the height because the height is 35 inches. This is problem is helpful for learning how to find height of a cylinder. We already know the height the difference in this problem when it comes to the radius is that instead of giving us the radius they gave us the diameter. This 17 inches refers to the whole diameter of the circle so in order to get the radius the radius is of course equal to 1/2 of the diameter. If the diameter is 17 inches the radius is going to be half of that which is 8 point 5. Now we know our radius and our height that we’re going to use the substitute into our formula we know that we have to use pi then we have to use 8.5 for the radius squared and then we have to multiply that times 35 for the height. When we substitute these in we substitute it in 8.5 in for R and then 35 in for the height then when you simplify our formula you will get seven thousand nine hundred and forty four point three inches cubed and that’s going to be your solution. Try all the practice problems by downloading the cylinder volume worksheet above.

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