Intro to Volume

Introduction to Volume

What is volume?

Volume is the amount of space an object takes up or the amount of space that fills an object.

Example: The amount of water that fills a swimming pool is volume.

Volume of Specific Shapes

Using formulas for specific types of shapes, we can calculate the volume of certain objects. For this year, we will focus on three new objects. A cylinder, a cone, and a sphere. The good news is ALL of these formulas are on your formula sheet for the milestones.

Volume of Specific Shapes

In each of these formulas, V stands for Volume and r stands for radius.

​Volume

​Volume

​Volume

radius

radius

radius

Fill in the Blanks

In volume formulas, the r stands for

.

​Plug in what you know:

Pick the formula:

Calculate the Volume of a Cylinder that has a 7 in radius and is 2 in tall.

​Plug in what you know:

Pick the formula:

Calculate the Volume of a Cylinder that has a 4 in radius and is 3 in tall.

​Now you try...

Fill in the Blanks

Calculate the Volume of a cylinder that has a 4 inch radius and 3 inch height. (Use 3.14 for pi)

​Plug in what you know:

Pick the formula:

Calculate the Volume of a Cylinder that has a 2 in radius and is 10 in tall.

​Now you try another one...

Fill in the Blanks

Calculate the Volume of a cylinder that has a 2 inch radius and 10 inch height. (Use 3.14 for pi)

​Plug in what you know:

Pick the formula:

Calculate the Volume of a Cone that has a 2 in radius and is 9 in tall.

​Now you try another one...

Fill in the Blanks

Calculate the Volume of a cone that has a 2 inch radius and 9 inch height. (Use 3.14 for pi)

​Plug in what you know:

Pick the formula:

Calculate the Volume of a Sphere that has a 2 in radius.

​Now you try another one...

Fill in the Blanks

Calculate the Volume of a sphere that has a 2 inch radius (Use 3.14 for pi)