Cylinder Volume and Dimensions

This video tutorial explains how to calculate the height of a cylinder when given the volume and radius or diameter. It begins with an introduction to the problem, followed by two example problems. The first example uses a volume of 700 cubic inches and a radius of 4 inches to find the height. The second example uses a volume of 800 cubic centimeters and a diameter of 10 centimeters. The video demonstrates the use of the formula for the volume of a cylinder, V = πr²h, and shows how to solve for the height by rearranging the formula and performing calculations.

What is the main objective discussed in the video?

• Measuring the diameter of a cylinder

• Determining the radius of a cylinder

• Finding the height of a cylinder given its volume and radius

• Calculating the volume of a cylinder

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CCSS.8.G.C.9

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Which formula is used to calculate the volume of a cylinder?

• Volume = pi * d^2 * h

• Volume = pi * r^2 * h

• Volume = pi * r * h

• Volume = 2 * pi * r * h

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CCSS.8.G.C.9

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What is the calculated height of a cylinder with a volume of 700 cubic inches and a radius of 4 inches?

• 14.789 inches

• 13.926 inches

• 15.678 inches

• 12.345 inches

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What should you ensure about the units when calculating the height of a cylinder?

• Units of volume and height should be different

• Units of radius and height should match

• Units of diameter and height should match

• Units of volume and radius should be different

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CCSS.7.G.B.4

In the new problem, what is given instead of the radius?

• Diameter

• Circumference

• Area

• Height

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How do you find the radius if the diameter is given?

• Multiply the diameter by 2

• Divide the diameter by 2

• Add 2 to the diameter

• Subtract 2 from the diameter

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CCSS.8.G.C.9

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What is the calculated height of a cylinder with a volume of 800 cubic centimeters and a diameter of 10 centimeters?

• 12.345 centimeters

• 10.1859 centimeters

• 11.234 centimeters

• 9.876 centimeters

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What is the decimal value of pi used in the calculations?

• 3.14

• 3.1415

• 3.141592654

• 3.142

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CCSS.8.G.C.9

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What is the first step in solving the new problem with a given diameter?

• Calculate the circumference

• Calculate the height

• Calculate the radius

• Calculate the volume

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What is the unit of the final height in the second problem?

• Millimeters

• Centimeters

• Meters

• Inches

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