Understanding Right Circular Cylinders

The video tutorial explains how to form a right circular cylinder from a rectangle measuring 6 cm by 8 cm. It details the process of determining the cylinder's height and circumference, using these to calculate the radius. The tutorial then demonstrates how to calculate the volume of the cylinder using the formula V = πr²h, and provides a decimal approximation of the volume.

What shape is used to form the right circular cylinder in this problem?

• Circle

• Triangle

• Rectangle

• Square

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the height of the right circular cylinder formed from the rectangle?

• 8 cm

• 4 cm

• 10 cm

• 6 cm

Which dimension of the rectangle becomes the circumference of the cylinder's base?

• 10 cm

• 12 cm

• 8 cm

• 6 cm

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CCSS.7.G.B.4

What formula is used to find the radius of the cylinder's base?

• Volume of a cylinder

• Surface area of a cylinder

• Area of a circle

• Circumference of a circle

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CCSS.7.G.B.4

How is the radius of the cylinder calculated from the circumference?

• Divide the circumference by 2

• Multiply the circumference by Pi

• Divide the circumference by 2 Pi

• Multiply the circumference by 2 Pi

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a right circular cylinder?

• Pi * r * H

• 2 * Pi * r * H

• 2 * Pi * r^2 * H

• Pi * r^2 * H

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the exact volume of the cylinder in terms of Pi?

• 32 Pi cubic cm

• 48 Pi cubic cm

• 96 Pi cubic cm

• 64 Pi cubic cm

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the decimal approximation of the cylinder's volume to two decimal places?

• 29.85 cubic cm

• 31.42 cubic cm

• 28.27 cubic cm

• 30.56 cubic cm

Tags

CCSS.7.G.B.4

Which mathematical constant is used in both the circumference and volume formulas?

• Euler's number

• Square root of 2

• Pi

• Golden ratio

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the unit of the final volume of the cylinder?

• Square cm

• Cubic cm

• Meters

• Liters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3