Exploring Volume and Surface Area of Cylinders

This video tutorial covers the geometry of cylinders, focusing on identifying their parts, such as base and lateral faces. It explains how to calculate the volume and surface area of cylinders using specific formulas. The tutorial includes practice problems to reinforce understanding, emphasizing the importance of correctly applying formulas and units.

What shapes make up a cylinder?

• A single circle and a rectangle

• Two circles and a square

• Two rectangles and a circle

• Two circles and a rectangle

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CCSS.1.G.A.1

CCSS.2.G.A.1

What does the height of a cylinder represent?

• The radius of the base circle

• The length of the lateral face

• The distance between the two bases

• The distance around the base

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

• 2 PI R squared

• PI R H squared

• 2 PI R H

• PI R squared H

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What units are used to measure the volume of a cylinder?

• Quadratic units

• Cubic units

• Linear units

• Square units

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

If a cylinder's radius is doubled, how does the volume change?

• It increases eightfold

• It stays the same

• It quadruples

• It doubles

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How does the orientation (upright or on its side) of a cylinder affect its volume calculation?

• The formula changes

• The volume increases

• It does not affect the calculation

• The volume decreases

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you calculate the surface area of a cylinder?

• 2 PI R squared + 2 PI RH

• 2 PI R squared + PI RH

• PI R squared + 2 PI RH

• PI R squared + PI RH

What does the lateral area of a cylinder include?

• The total surface area

• The volume of the cylinder

• The area of the rectangle connecting the bases

• The area of the base circles

What is the significance of the formula 2 PI R squared in calculating cylinder surface area?

• It calculates the lateral area

• It calculates the area of the base faces

• It calculates the total surface area

• It calculates the volume

What is required to calculate the surface area of a cylinder?

• Neither the radius nor the height

• Only the height

• Both the radius and the height

• Only the radius