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Goal: Find the volume of cylinders.
What is the volume of the cylinder? Use 3.14 for π.
A 62.8 m^3 B 251.2 m^3 C 314 m^3 D 1256 m^3
Solution V π r^2 h Write formula for volume of a cylinder.
Multiply.
Answer: The volume of the cylinder is about.
The correct answer is (^) B. A B C D
251.2 cubic meters
4 m
5 m
LE^ Volume of Cylinders
SS ON
E X A M P L E 1 Standardized Test Practice
274 | Chapter 12 Notetaking Guide
Volume of a Cylinder Words The volume V of a cylinder is the of
the of the base and the.
Algebra V (^) π r^2 h
area height
r
h
product
You have learned many properties and formulas related to solids. Writing a summary of what you have learned may help you prepare for the chapter test.
Substitute for π, for r ,
and 5 for h.
Tomato Sauce Carlos found two cans of tomato sauce in the pantry. One can has a diameter of 4 inches and a height of 5 inches. The second one has a diameter of 3 inches and a height of 6 inches. Which can has the greater volume?
Solution
- Find the radius of each can, which is half of the diameter.
Can 1: r in.
Can 2: r in.
- Find the volume of each can. Use 3.14 for π. Can 1: Can 2: V π r^2 h V π r^2 h
in.^3 in.^3
Answer: Can 1 has the greater volume.
3.14 (2) 2 5 3.14 (1.5)^26
3 2
4 2 (^) 6 in.
3 in.
5 in.
4 in.
E X A M P L E 2 Comparing Volumes of Cylinders
Lesson 12.6 Volume of Cylinders | 275
WATCH OUT!
Make sure to use the radius, not the diameter, in the formula for volume of a cylinder.
A cylinder has a height of 12 feet and a volume of 3768 cubic feet. Find the radius of the cylinder. Use 3.14 for π.
V π r^2 h Write formula for volume of a cylinder.
r^2
Multiply.
Divide each side by^.
Take positive square root of each side.
Evaluate square root.
Answer: The radius of the cylinder is about (^) 10 feet.
10 r
100 r
100 r^2 37.
3768 37.68 r^2
E X A M P L E 3 Finding the Radius of a Cylinder
Need help with solving equations using square roots? See page 579 of your textbook.
Substitute for V , for π,
and 12 for h.
