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  http://www.youtube.com/watch?v=FLtkVS8bAUY

Previous Formulas Learned Area and Circumference of a Circle Formula to find the area of a circle:

A

 

r

2 The formula to find the circumference of the circle:

C

 

d

Area is the space inside of an object.

Circumference is the perimeter (length outside) of a circle.

Cylinder  Formula    2

Bh

  B = Area of the base h = Height   r = Radius  = Pi = 3.14159…..(irrational number use calculator unless told otherwise)

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 = B(h) OR V = π

r 2

(h)

5 cm Volume of Cylinders Class Practice 18 cm

V

 

V

  2 ( )     

V





V

 1, 413 cubic cm

Volume of Cylinders Class Practice 7 cm 12 cm

Homework  Pg. 387-388   All Classes 1-9

Cone  A three dimensional figure with one vertex and one circular base  http://www.youtube.com/watch?v=G3wEgkUqc-k

Cone  Formula

V

 1 3  2

r h

Volume of Cones Class Practice

Volume of Cones Class Practice

Homework  Pg. 397-398   CC: 1-11, 14 HC: 1-14

Sphere  A three dimensional figure with all points the same distance from the center  http://www.youtube.com/watch?v=zPd21soIZw0

Sphere  Formula

V

 4 3 

r

3

Volume of Spheres Class Practice

Volume of Spheres Class Practice

Relationship between Cylinder, Cone and Sphere  http://www.youtube.com/watch?v=u7zyl9zFj0Y

Homework  Pg. 403-404   CC: 1-12, 15 HC: 1-15