9-2C Volume of Cylinders and Cones

1
9-2C Volume of Cylinders and Cones

• What is the difference in volume between
  cylinders and cones with the same area bases and
  same height?
• How do you find the formula for the volume of a
  cylinder?
• How do you find the formula for the volume of a
  cone?

2
Similarities and Differences

• Pyramid is to prism as _______ is to cylinder.
• Prism is to cylinder as pyramid is to______.

cone
cone
?
3
Volume of a Cylinder

• The volume of a cylinder is the product of its
  base area and its height.
• V p r2 H

r
r
H
H
4
Find the Volume

• V p r2 H
• V p (12.3)2(22.1)
• V 3343.509 p (exact)
• V 10,503.9 (approx)

12.3
22.1
5
Water Test

• How many cones will it take to fill a cylinder?
• How do you find the formula for volume of a cone?
• What is the shape of the base?
• Go to cone
• Go to volume formula

6
Volume of a Cone

• The volume of a cone is one-third the product of
  its base area and its height.
• V ? p r 2 H

H
r
7
Find the Volume

• V ? p r 2 H
• V ? p (4.3)2(6.7)
• V 41.29p (exact)
• V 129.73 (approx)

6.7
4.3
8

• What is the difference in volume between
  cylinders and cones with the same area bases and
  same height?
• ?
• How do you find the formula for the volume of a
  cylinder? A cone?
• What is the shape of the base?
• Circle Find circle
• Find cylinder or cone
• Find Volume formula

9
Assignment 9-2C

• Page 637, 1-9,
• 26-29
• No formulas with numbers, NO CREDIT