Cylinder - How to Find the Volume

Cylinder - How to Find the Volume - Video

Example 1

Example 1:

Let's find the volume of a cylinder. We need to use the volume formula ==> V = π * r² * h. Let's take a look at the first part the formula π * r² that is the area formula of circle ==> A = π * r². 4 cm represents that the radius so the area of the circle is 16π cm².

Now let's find the volume by substituting the radius, 4 cm, and the height, 1 cm.

V = π * r² * h

• π * 4² * 1 We substitute the radius and the height.

• π * 16 * 1 We square the radius, 4.

• π * 16 We multiply 16 and the height, 1.

• 16π cm³ We add the units.

So our volume is 16π cm³.

Example 1 continued:

Cylinders are circles stacked on top of each other. In the above photos, we add another circle on top with the same dimensions as our original question with a radius of 4 cm and a height of 1 cm. Our volume increased to 32π cm³. We add another and the volume increases to 48π cm³.

Example 1 continued:

Cylinders are circles stacked on top of each other. In the above photos, we add another circle on top with the same dimensions as our original question with a radius of 4 cm and a height of 1 cm. Our volume increased to 64π cm³. We add another and the volume increases to 80π cm³.

Example 2

Example 2:

Let's find the volume of a cylinder. We need to use the volume formula ==> V = π * r² * h. Let's take a look at the first part the formula π * r² that is the area formula of circle ==> A = π * r². 8 cm represents that the radius so the area of the circle is 64π cm².

Now let's find the volume by substituting the radius, 4 cm, and the height, 10 cm.

V = π * r² * h

• π * 8² * 10 We substitute the radius and the height.

• π * 64 * 10 We square the radius, 8.

• π * 640 We multiply 64 and the height, 10.

• 640π cm³ We add the units.

So our volume is 640π cm³.

Live Worksheet

Teacher - Edpuzzle Link