Exploring the Volume of Cylinders

This lesson covers how to find the volume of cylinders. It begins by explaining that a cylinder is composed of circles and introduces the formula for volume: V = πr²h. The teacher provides examples and practice problems, emphasizing the importance of using the radius, not the diameter, in calculations. The lesson concludes with word problems, applying the formula to real-world scenarios, such as calculating the volume of a tank and a drum.

What shape's area is used as the base in calculating a cylinder's volume?

• Rectangle

• Triangle

• Square

• Circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

• Volume = πr^2 + h

• Volume = πd^2h

• Volume = πr^2h

• Volume = 2πrh

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In the formula for the volume of a cylinder, what does 'h' stand for?

• Horizontal length

• Height

• Halved diameter

• Hypotenuse

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder has a radius of 3 units and a height of 5 units, what is its volume using 3.14 for π?

• 141.3 units cubed

• 47.1 units cubed

• 282.6 units cubed

• 94.2 units cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a radius of 2 units and a height of 5 units, using 3.14 for π?

• 314 units cubed

• 125.6 units cubed

• 31.4 units cubed

• 62.8 units cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the radius if you are given the diameter of the cylinder?

• Multiply the diameter by π

• Divide the diameter by 2

• Square the diameter

• Multiply the diameter by 2

Tags

CCSS.7.G.B.4

If the diameter of a cylinder is given as 10 units, what is the radius?

• 10 units

• 20 units

• 5 units

• 2.5 units

Tags

CCSS.7.G.B.4

What is the correct step to take when you are given the diameter instead of the radius in a volume problem?

• Square the diameter

• Divide the diameter by 2

• Use the diameter as it is

• Multiply the diameter by π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a diameter of 12 inches and height of 4 inches, using 3.14 for π?

• 150.8 inches cubed

• 904.4 inches cubed

• 452.2 inches cubed

• 226.1 inches cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical tank is 24 feet deep with a radius of 18.8 feet. What is its volume to the nearest tenth, using 3.14 for π?

• 26635.2 feet cubed

• 13317.6 feet cubed

• 53270.4 feet cubed

• 10654 feet cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3