Volume of Cylinders, Cones, and Spheres. Warm Up: Find the area of: A circle with a radius of 3cm. A rectangle with side lengths of 4ft and 7ft. A square.

Volume of Cylinders, Cones,

and Spheres

Warm Up:

Find the area of:

A circle with a radius of 3cm.

A rectangle with side lengths of 4ft and 7ft.

A square with side lengths of 15in.

Think, Pair, Share…

A company that makes air tanks for scuba diving needs to put a label on their tanks to tell users how much compressed air the tank can hold. With the dimensions of the bottle how do you think they could determine how much their tanks can hold? Why would this be an important piece of information for those who buy and uses these tanks?

Volume of Cylinders

Volume of a cylinder is the product of the area of the base and the height.

With a Partner…

Find the Volume of the following:

On Your Own…

Find the Volume of the following:

Volume of Cones

The volume of the cone is one third of the product of the area of the base and the height.

With a Partner…

Find the Volume of the following:

On Your Own…

Find the Volume of the following:

Volume of Sphere

The volume of a sphere is four thirds the product of pi and the cube of the radius.

With a Partner…

Find the Volume of the following:

On Your Own…

Find the Volume of the following:

Homework and Exit Ticket

Exit Ticket:

Find the volume:

Homework:

Worksheet