Volume of Cylinders, Spheres, and Cones

What is the approximate value of π?

• 2.71

• 3.14

• 3.33

• 3.00

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CCSS.HSG.GMD.A.1

What is the volume of a sphere with a radius of 4 inches?

• 268.08 in³

• 150.80 in³

• 200.00 in³

• 300.00 in³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder using its diameter?

• First, find the radius (diameter/2), then use V = πr²h.

• Use the formula V = πd²h/4.

• Multiply the diameter by the height to get the volume.

• Add the diameter and height to find the volume.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What units are used to measure volume?

• Cubic inches (in³)

• Liters (L)

• Pints (pt)

• Gallons (gal)

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CCSS.3.MD.A.2

What is the relationship between the radius and diameter?

• The radius is half of the diameter.

• The radius is twice the diameter.

• The radius is equal to the diameter.

• The radius is one-fourth of the diameter.

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CCSS.7.G.B.4

If the diameter of a cylinder is 10 inches, what is the radius?

• 3 inches

• 4 inches

• 5 inches

• 6 inches

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CCSS.7.G.B.4

Why is it important to round to the nearest hundredth in volume calculations?

• Rounding helps to provide a more precise and manageable number for practical applications.

• Rounding is not necessary in volume calculations.

• Rounding to the nearest hundredth increases the volume measurement.

• Rounding helps to make calculations more complex.

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CCSS.3.MD.A.2

What is the volume of a cone with a radius of 2 inches and a height of 6 inches?

• 8π in³ (≈ 25.13 in³)

• 6π in³ (≈ 18.85 in³)

• 4π in³ (≈ 12.57 in³)

• 10π in³ (≈ 31.42 in³)

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

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

• V = 2πrh, where r is the radius and h is the height.

• V = πr² + h, where r is the radius and h is the height.

• V = πr²h², where r is the radius and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you convert diameter to radius?

• Multiply the diameter by 2.

• Subtract 2 from the diameter.

• Divide the diameter by 2.

• Add 2 to the diameter.

Tags

CCSS.7.G.B.4