Learning Outcome & Agenda | INSERT DATE HERE |
I will apply the volume formula to solve problems involving cylinders by [how I will show my learning].
Announcements
INSERT ANNOUNCEMENT HERE
What is Volume? | Notes |
Volume is the amount of space an object takes up or can hold.
What We Need to Review Part 1 | Notes |
Diameter = the length across a circle
= 2 times the radius
= 2r
Area of a Circle = πr2
Base Area (B) = πr2
π ≈ 3.14
Some answers are in terms of π (Example: 9π).
Some answers use 3.14159… for π and round.
What We Need to Review Part 2 | Notes |
Exponents: 52 = 5 * 2
= 10
53 = 5 * 3
= 15
Exponents: 52 = 5 * 5
= 25
53 = 5 * 5 * 5
= 25 * 5
= 125
Formula for the Volume of a Cylinder | Notes |
Volume of a Cylinder = Bh
= πr2h
Example for Finding the Volume of a Cylinder | Notes |
Volume = Bh
= πr2h
= π(3)2(5)
= π(9)(5)
= 45π
= 45(3.14)
≈ 141.3 ft3
Steps for Finding the Volume of a Cylinder | Notes |
Volume = Bh
= πr2h
= π(3)2(5)
= π(9)(5)
= 45π
= 45(3.14)
≈ 141.3 ft3
Step 1: Plug in radius & height
Step 2: Square the radius
Step 3: Multiply the numbers
Step 4: Multiply by 3.14 for π
Step 5: Put unit in cubic form
We Will Find the Volume of a Cylinder | Notes |
Volume = Bh
= πr2h
= π(5)2(8)
= π(25)(8)
= 200π
= 200(3.14)
≈ 628 ft3
We Will Find the Volume of a Cylinder | Notes |
Volume = Bh
= πr2h
= π(5)2(8)
= π(25)(8)
= 200π
= 200(3.14)
≈ 628 ft3
Step 1: Plug in radius & height
Step 2: Square the radius
Step 3: Multiply the numbers
Step 4: Multiply by 3.14 for π
Step 5: Put unit in cubic form
Your Team Will Find the Volume of a Cylinder | Notes |
Example 1 Example 2
Your Team Will Find the Volume of a Cylinder | Notes |
Example 1
Volume = Bh
= πr2h
= π(4)2(10)
= π(16)(10)
= 160π
= 160(3.14)
≈ 502.4 ft3
Your Team Will Find the Volume of a Cylinder | Notes |
Example 2
Volume = Bh
= πr2h
= π(6)2(12)
= π(36)(12)
= 432π
= 432(3.14)
≈ 1356.48 ft3