Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the radius of a cylinder if you know the diameter?

Back

Radius (r) is half of the diameter (d): r = d/2.

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CCSS.7.G.B.4

Front

What does the 'B' represent in the volume formula V = Bh?

Back

'B' represents the area of the base of the cylinder.

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CCSS.8.G.C.9

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Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(10) = 90π ≈ 282.7 cm³.

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CCSS.8.G.C.9

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Front

How do you convert the volume of a cylinder from cubic inches to cubic centimeters?

Back

Multiply the volume in cubic inches by 16.387 to convert to cubic centimeters.

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CCSS.5.MD.A.1

Front

What is the volume of a cylinder with a diameter of 6 inches and a height of 10 inches?

Back

V = π(3)²(10) = 90π ≈ 282.7 in³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for precision and to match the required significant figures.

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CCSS.5.MD.C.5C

Front

How do you find the volume of multiple identical cylinders?

Back

Multiply the volume of one cylinder by the number of cylinders.

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CCSS.5.MD.C.5C

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 20 cm?

Back

V = π(5)²(20) = 500π ≈ 1570.8 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used for measuring volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and liters.

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