# Volume of a Cylinder - Mr. K's Virtual World of Math Volume of a Cylinder, Cone, and Sphere We are learning tofind 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 Area is the space inside of an object.

The formula to find the circumference of the circle: C d Circumference is the perimeter (length outside) of a circle. Cylinder

Formula 2 VV r h 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 = r2(h) Volume of Cylinders Class Practice V r 2 (h) V 3.14 5 18 cm 5 cm

2 18 V 3.14 25 18 V 1, 413 cubic cm Volume of Cylinders Class Practice

12 cm 7 cm Homework Pg. 387-388

All Classes 1-9 Cone A three dimensional figure with one vertex and one circular base

1 2 V r h 3 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 4 3 V r 3

Volume of Spheres Class Practice Volume of Spheres Class Practice Relationship between Cylinder, Cone and Sphere http://www.youtube.com/watch?v=u7zyl9zF j0Y

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