Cone Volume and Height Calculations

Mr. Sal explains how to solve a problem involving the volume of a cone, starting with a diameter and converting it to a radius. He provides a step-by-step guide to using the formula for cone volume, solving the equation, and verifying the solution. The video concludes with a call to action for viewers to engage with the content.

What is the initial problem that Mr. Sal introduces?

• Finding the radius of a cone

• Finding the height of a cone given its volume and diameter

• Calculating the surface area of a cone

• Determining the diameter of a cone

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cone?

• pi times the diameter squared times the height divided by 3

• pi times the radius squared times the height divided by 3

• pi times the diameter squared times the height

• pi times the radius squared times the height

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CCSS.7.G.B.4

How is the radius of the cone determined from the diameter?

• Subtracting 2 from the diameter

• Multiplying the diameter by 2

• Dividing the diameter by 2

• Adding 2 to the diameter

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the given volume of the cone in the problem?

• 1908.65 cubic inches

• 1908.56 cubic inches

• 1809.65 cubic inches

• 1809.56 cubic inches

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CCSS.7.EE.B.4A

What is the first step Mr. Sal takes to solve the equation?

• Dividing both sides by 3

• Multiplying both sides by 3

• Adding 3 to both sides

• Subtracting 3 from both sides

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CCSS.6.EE.A.1

What is the value of 6 squared in the equation?

• 32

• 30

• 34

• 36

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CCSS.HSA.REI.A.1

What does Mr. Sal do to isolate the height (H) in the equation?

• Adds pi times 36

• Divides by pi times 36

• Multiplies by pi times 36

• Subtracts pi times 36

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CCSS.HSA.REI.A.1

To what value does Mr. Sal round the height of the cone?

• 49 inches

• 48 inches

• 47 inches

• 46 inches

What is the purpose of substituting the height back into the original formula?

• To find the radius

• To determine the surface area

• To verify the solution

• To calculate the diameter

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the final confirmed height of the cone?

• 48 inches

• 49 inches

• 46 inches

• 47 inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3