QUICK LINKS


Volume of Cylinders and Prisms Calculator

QUICK LINKS


Volume of Cylinders and Prisms Calculator

Volume of Cylinders and Prisms

CALCULATOR
β€”

Volume of Cylinders & Prisms Calculator

What is your shape?

Step 1. Imagine & identify the base.

We can think of the cylinder as a cake with layers shaped as circles. The base is the bottom layer, a circle.

Step 2. Calculate the area of the base.

We start by calculating the area of the base circle.

Step 3. Multiply the area of the base by the height (H) of the cylinder.

Next, we multiply the base area by the height, or the number of layers.
We have some questions for you! Help us out through this
INTRO
β€”
Volume tells us the amount of space there is inside a 3D shape. It’s kind of like the 3D version of area 🀯. To find the volume of a cylinder or prism, we multiply the area of the base by the height.To help us understand why this is the formula for volume, let’s imagine we have a cake with lots of layers.

Pick your cake shape:

If we wanted to determine the total amount of cake, we could do so by first finding the amount of cake in one layer...
And then multiplying it by the number of layers.
The amount of cake in one layer is like the area of the base of the cylinder, and the total number of layers is like the height of the cylinder.
Multiplying the two together gives us:
We can use this logic for any 3D shape where we stack up the exact same base shape over and over again:
ShapeVolume
Cylinder
Rectangular Prism
Triangular Prism
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about how to find the volume of cylinders and prisms and test your understanding.

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

KEY STEPS
β€”

How to Find the Volume of Cylinders & Prisms

Shape:

Step 1. Imagine & identify the base.

We can think of the cylinder as a cake with layers shaped as circles. The base is the bottom layer, a circle.

Step 2. Calculate the area of the base.

We start by calculating the area of the base circle.

Step 3. Multiply the area of the base by the height (H) of the cylinder.

Then, we multiply the base area by the height to get the volume.
LESSON
β€” Volume of Cylinders & Prisms
PRACTICE
β€” Volume of Cylinders & Prisms
CONCLUSION
β€”
Leave Feedback