Intro to Volume of a Cylinder

Intro to Volume of a Cylinder

V(cylinder) = Area of Base * Height

Find the Volume of a Cylinder

Need to know the radius and the height

Using the formula

Multiply the Area of the Base times the Height. 

Volume is cubic units. 

Multiple Choice

What is the volume of the given cylinder? 

•  $V=\frac{4}{3}\pi\ in^3$  

•  $V=21\pi\ in^3$  

•  $V=54\pi\ in^3$  

•  $V\ =\ 108\pi\ in^3$  

Multiple Choice

Tommy has created a new tomato soup recipe. Before he cans and sells his soup, he must gather information about how much soup cans of different sizes will hold.

To start, which measurement does Tommy need to know about the soup cans?

• Weight

• Circumference

• Volume

• Surface Area

Open Ended

Identify the parts of Tommy's soup can:

A, B, C, D

Open Ended

When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup can has and what formula he should use to find its area.

Multiple Select

Which statements are true about finding the volume of the soup cans? Check all that apply.

• The diameter is squared to find the area of the base of a cylinder.

• The volume is the area of the base times the height.

• Given the radius or the diameter, you can calculate the area of the base of a cylinder.

• The height of a cylinder is the distance between the 2 parallel bases.

• The radius is half the distance of the height.

Fill in the Blanks

Tommy’s first soup can has a radius of 2 inches and a height of 6 inches. How much soup will it hold?
Cylinder V = Bh

Volume =

(pi) in^3

Open Ended

The area of a second soup can’s base is 5(pi) in^2 . The can has a height of 10 inches. How would you use that information to find how much soup the can will hold? Explain.

Multiple Choice

Tommy is thinking about using three different sizes of soup cans. His first can has a volume of 24 (pi) in^3, and his second can has a volume of 50 (pi) in^3. Which of these cans will hold more soup than the other two cans Tommy is considering?

• A

• B

• C

• D

Open Ended

Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4(pi) in^2, and multiplied that by the height of 3 inches for a total volume of 12(pi) in^3. Explain the error Tommy made when calculating the volume of the can.