Volume of a Cylinder, Cone, and Sphere

We are learning to…find the volume of a cylinder, cone and sphere

Volume

Definition The number of cubic units needed to fill

a given space

Geometric Shapes Cylinder Cone Sphere

Cylinder

A three dimensional figure with two parallel, congruent bases connected by a curved lateral surface

Previous Formulas Learned Area and Circumference of a Circle

Formula to find the area of a circle: The formula to find the circumference of the circle:

2A r C d

Area is the space inside of an object. Circumference is the perimeter (length outside) of a circle.

Cylinder

Formula

B = Area of the base h = Height r = Radius = Pi = 3.14159…..(irrational number

use calculator unless told otherwise)

2V r h

Volume of a Cylinder

Label the BASE and HEIGHT of the cylinder below:

Base of the Cylinder!

Height of the Cylinder!

Volume of a Cylinder

For the Volume of a Cylinder we can write:

V = πr2(h)

Volume of Cylinders Class Practice

5 cm

18 cm

Volume of Cylinders Class Practice

7 cm

12 cm

Cone

A three dimensional figure with one vertex and one circular base

Cone Experiment

Cone

Formula

21

3V r h

Volume of Cones Class Practice

16m

Volume of Cones Class Practice

340 km

Sphere

A three dimensional figure with all points the same distance from the center

Sphere

Formula

34

3V r

Volume of Spheres Class Practice

21 feet

Volume of Spheres Class Practice

52 in

Homework

Practice Worksheets