Volume of a Cylinder, Cone, and Sphere

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Volume of a Cylinder, Cone, and Sphere

• We are learning tofind the volume of a cylinder,
  cone and sphere

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Volume

• Definition
• The number of cubic units needed to fill a given
  space
• Geometric Shapes
• Cylinder
• Cone
• Sphere

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Cylinder

• A three dimensional figure with two parallel,
  congruent bases connected by a curved lateral
  surface
• http//www.youtube.com/watch?vFLtkVS8bAUY

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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


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

• Formula
• B Area of the base
• h Height
• r Radius
• Pi 3.14159..(irrational number use
  calculator unless told otherwise)

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Volume of a Cylinder

• Label the BASE and HEIGHT of the cylinder below

Height of the Cylinder!
Base of the Cylinder!
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Volume of a Cylinder

• For the Volume of a Cylinder we can write
• V B(h)
• OR
• V pr2(h)

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Volume of Cylinders Class Practice
18 cm
5 cm
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Volume of Cylinders Class Practice
12 cm
7 cm
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Homework

• Pg. 387-388
• All Classes
• 1-9

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Cone

• A three dimensional figure with one vertex and
  one circular base
• http//www.youtube.com/watch?vG3wEgkUqc-k

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Cone

• Formula

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Volume of Cones Class Practice
14
Volume of Cones Class Practice
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Homework

• Pg. 397-398
• CC 1-11, 14
• HC 1-14

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Sphere

• A three dimensional figure with all points the
  same distance from the center
• http//www.youtube.com/watch?vzPd21soIZw0

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Sphere

• Formula

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Volume of Spheres Class Practice
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Volume of Spheres Class Practice
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Relationship between Cylinder, Cone and Sphere

• http//www.youtube.com/watch?vu7zyl9zFj0Y

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Homework

• Pg. 403-404
• CC 1-12, 15
• HC 1-15