Transcript Volume of a Cylinder - Mr. K`s Virtual World of Math
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