Warm Up

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Warm Up
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Volume of Prisms and Cylinders

• 12.4

3
Volume of a Prism
4
Formula

• V Bh
• where B is the area
• of the base and h is
• the height

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EXAMPLE 2
Find volumes of prisms and cylinders
Find the volume of the solid.
a. Right trapezoidal prism
SOLUTION
V Bh 30(5) 150cm3
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Volume of Cylinder
7
Formula of Cylinder

• V Bh
• Where B is the area of
• The base and h is the
• Height of the cylinder
• B pr2

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EXAMPLE 4
Find the volume of an oblique cylinder
Find the volume of the oblique cylinder.
SOLUTION
Cavalieris Principle allows you to use Theorem
12.7 to find the volume of the oblique cylinder.
V p r2h
Formula for volume of a cylinder
p(42)(7)
Substitute known values.
112p
Simplify.
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EXAMPLE 4
Find the volume of an oblique cylinder
351.86
Use a calculator.
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for Example 4 and 5
GUIDED PRACTICE
5. Find the volume of the solid shown below.
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Homework

• Pg 823-824
• 5-25 odd, not 13, 21