Exploring Volume Calculations for Cylinders

What is the formula to calculate the area of a circle?

• Area = 2 * r^2

• Area = pi * d

• Area = pi * r^2

• Area = 2 * pi * r

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder?

• Volume = pi * r * Height

• Volume = 2 * Area of base * Height

• Volume = Area of base * Height

• Volume = Area of base * Width

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the 'h' stand for in the volume formula of a cylinder?

• Horizontal length

• Hypotenuse

• Height

• Halved base

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the significance of the radius in calculating the volume of a cylinder?

• It determines the height of the cylinder.

• It has no significance in volume calculation.

• It represents the diameter of the base.

• It is used to calculate the area of the base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In a cylinder volume formula, what does the capital 'B' represent?

• The base's diameter

• The breadth of the cylinder

• The area of the base

• The base's perimeter

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a cylinder's base radius is 5 cm and its height is 10 cm, what is its volume?

• 250 pi cm^3

• 150 pi cm^3

• 100 pi cm^3

• 50 pi cm^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a radius of 3 cm and height of 4 cm, in terms of pi?

• 48 pi cm^3

• 36 pi cm^3

• 12 pi cm^3

• 24 pi cm^3

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CCSS.3.MD.A.2

How does the height of a cylinder affect its volume?

• The volume is inversely proportional to the height.

• The taller the cylinder, the greater the volume.

• The height has no effect on the volume.

• The taller the cylinder, the less volume it has.

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CCSS.7.G.B.4

Why do we sometimes leave the answer in terms of pi?

• All of the above

• Because pi is an irrational number

• For a more precise answer

• To simplify the calculation

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a 10 cm radius and 15.2 mm height, in terms of pi?

• 15200 pi mm^3

• 1520 pi cm^3

• 152 pi cm^3

• 1520 pi mm^3

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3