Understanding the Volume of Cones

What is the formula for the volume of a cone?

• V = 1/3 * B * H

• V = Pi * r^2 * H

• V = 2 * Pi * r * H

• V = B * H

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What does the 'B' in the cone volume formula represent?

• The diameter of the base

• The circumference of the base

• The area of the base

• The radius of the base

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CCSS.8.G.C.9

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In the formula for the volume of a cone, what does the 'H' represent?

• The height of the cone

• The area of the base

• The radius of the base

• The diameter of the base

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CCSS.8.G.C.9

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What is the volume of a cone with a base area of 19.625 and a height of 10, rounded to the nearest hundredth?

• 62.18 cm^3

• 65.42 cm^3

• 58.87 cm^3

• 75.95 cm^3

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CCSS.8.G.C.9

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How do you find the radius if you are given the diameter of the cone's base?

• Divide the diameter by 2

• Square root the diameter

• Square the diameter

• Multiply the diameter by 2

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If a cone has a diameter of 7 and a height of 12, what is the first step to find its volume?

• Multiply the diameter by Pi

• Multiply the diameter by the height

• Divide the diameter by 2 to find the radius

• Square the height

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CCSS.8.G.C.9

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When calculating volume in terms of Pi, what is the correct way to represent Pi in the final answer?

• As the symbol Pi

• 22/7

• 3.14

• 3.14159

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CCSS.8.G.C.9

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What is the volume of a cone with a radius of 3.1 and height of 9, in terms of Pi?

• 30.21 Pi inches^3

• 28.83 Pi inches^3

• 25.12 Pi inches^3

• 27.93 Pi inches^3

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CCSS.8.G.C.9

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For a cone with a diameter of 11 and height of 21, calculated in terms of Pi, what is the base area?

• 30.25 Pi

• 29.85 Pi

• 28.75 Pi

• 32.14 Pi

What is the volume of a paper water cup shaped like a cone with a height of 5 inches and a diameter of 3.5 inches, rounded to the nearest hundredth?

• 16.03 inches^3

• 12.97 inches^3

• 14.22 inches^3

• 18.05 inches^3

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CCSS.8.G.C.9

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