Volume of Cones Notes Quiz

If a cylinder and a cone have the same height and the same radius, how does the volume of the cone compare to the volume of the cylinder?

• The volume of the cone is three times larger than the cylinder.

• The volume of the cone is the same as the cylinder.

• The volume of the cone is one-third of the cylinder.

• The volume of the cone is twice the size of the cylinder.

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TEKS Math 8.7A

What is the formula for the volume of a cone?

• V = 1/3 base area × height

• V = base area × height

• V = πr^2h

• V = 2πrh

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TEKS Math 8.7A

How is the area of the base (B) of a cone calculated if the base is a circle?

• B = πr^2

• B = 2πr

• B = πd

• B = r^2h

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TEKS Math 8.7A

Using the diagram provided, if a cone has a radius of 5 inches and a height of 12 inches, what values should be plugged into the volume formula?

• r = 5, h = 12

• r = 10, h = 12

• r = 5, h = 24

• r = 10, h = 24

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TEKS Math 8.7A

What is the formula to find the volume of a cone?

• V = πr^2h

• V = 1/3πr^2h

• V = 2πrh

• V = πr^2

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TEKS Math 8.7A

If a cone has a volume of 300 units³ and a cylinder has a volume of 100 units³, can they have the same height and radius?

• Yes, because the volume of a cone is always 3 times less than that of a cylinder with the same height and radius.

• No, because the volume of a cone is always more than that of a cylinder with the same height and radius.

• Yes, because the volume of a cone and a cylinder with the same height and radius is always the same.

• No, because the volume of a cone and a cylinder with the same height and radius cannot be compared.

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TEKS Math 8.7A

Diego solved for the volume of the cone shown below on his math test. Did he solve it correctly? If not, identify the error and solve for the correct answer.

• Yes, he solved it correctly.

• No, he used the diameter instead of the radius in the formula.

• No, he used the slant height instead of the height in the formula.

• No, he used an incorrect formula for the volume of a cone.

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TEKS Math 8.7A