Volume of Cylinders, Cones, and Spheres. Warm Up: Find the area of: A circle with a radius of 3cm. A...

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Volume of Cylinders, Cones, and Spheres

Transcript of Volume of Cylinders, Cones, and Spheres. Warm Up: Find the area of: A circle with a radius of 3cm. A...

Page 1: 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

Page 2: 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.

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.

Page 3: 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.

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?

Page 4: 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

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

Page 5: 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 a Partner…

Find the Volume of the following:

Page 6: 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.

On Your Own…

Find the Volume of the following:

Page 7: 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 Cones

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

Page 8: 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 a Partner…

Find the Volume of the following:

Page 9: 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.

On Your Own…

Find the Volume of the following:

Page 10: 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 Sphere

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

Page 11: 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 a Partner…

Find the Volume of the following:

Page 12: 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.

On Your Own…

Find the Volume of the following:

Page 13: 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.

Homework and Exit Ticket

Exit Ticket:

Find the volume:

Homework:

Worksheet