Exploring Volume Calculations for Cylinders

This video tutorial explains how to calculate the volume of cylinders. It introduces the concept of volume as the space occupied by an object and provides the formula for calculating the volume of a cylinder: V = B * h, where B is the area of the base and h is the height. The video includes three examples demonstrating the calculation process using given dimensions. It concludes with instructions for students to submit their notes for credit.

What does the 'V' in the formula for calculating the volume of a cylinder represent?

• Velocity of the cylinder

• Volume of the cylinder

• Vertical height of the cylinder

• Vicinity of the cylinder base

Tags

CCSS.7.G.A.3

What shape is the base of a cylinder?

• Square

• Rectangle

• Circle

• Triangle

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CCSS.7.G.B.4

How do you find the area of the base of a cylinder?

• Length x Width

• Pi x Radius

• Pi x Radius squared

• 2 x Pi x Radius

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the correct formula to calculate the volume of a cylinder?

• V = Pi x Radius x Height

• V = Pi x Radius squared x Height

• V = 2 x Pi x Radius x Height

• V = Pi x Diameter squared x Height

In the first example, what is the radius of the cylinder?

• 4 inches

• 6 inches

• 8 inches

• 10 inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the cylinder in the first example?

• 452.39 inches cubed

• 196.35 inches cubed

• 502.65 inches cubed

• 314.16 inches cubed

Tags

CCSS.7.G.B.4

How is the radius found if the diameter is given?

• Radius = Diameter / 2

• Radius = Diameter - 2

• Radius = Diameter x 2

• Radius = Diameter + 2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the cylinder in the second example?

• 502.65 centimeters cubed

• 314.16 centimeters cubed

• 196.35 centimeters cubed

• 452.39 centimeters cubed

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

In the third example, what is the height of the cylinder?

• 2.5 feet

• 4 feet

• 5 feet

• 10 feet

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CCSS.1.G.A.1

CCSS.2.G.A.1

What should students do after completing their notes on the video tutorial?

• Email them to the teacher

• Keep them for personal review

• Submit them on Canvas

• Post them on social media

Tags

CCSS.RI.7.7

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.6.7

CCSS.RL.9-10.7