Finding the Height of a Cylinder Using Volume and Radius

The video tutorial explains how to find the height of a cylinder given its volume and radius. It starts by introducing the problem and the formula for the volume of a cylinder. The instructor then substitutes the given values into the formula and simplifies the equation to isolate the height. Through step-by-step calculations, the height is determined to be 12 cm. The tutorial concludes by summarizing the solution process.

What is the first step in solving the problem?

• Substitute the given values into the equation

• Isolate the height variable

• Write down the volume formula for a cylinder

• Multiply pi by the radius squared

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder?

• 2 * pi * radius * height

• pi * radius squared * height

• pi * radius * height

• pi * radius + height

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CCSS.HSG.GMD.A.1

What value is used for pi in the calculations?

• 3

• 22/7

• 3.14159

• 3.14

What is the radius of the cylinder?

• 8 cm

• 6 cm

• 2 cm

• 4 cm

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the cylinder?

• 750 cubic centimeters

• 500 cubic centimeters

• 602.88 cubic centimeters

• 450 cubic centimeters

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CCSS.HSA.REI.A.1

What operation is performed to isolate the height variable?

• Division

• Multiplication

• Subtraction

• Addition

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CCSS.HSA.REI.A.1

What mathematical operation is used to simplify the equation before isolating the height?

• Addition

• Multiplication

• Subtraction

• Division

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the final step to find the height of the cylinder?

• Multiply the volume by pi

• Subtract the radius from the volume

• Divide the volume by the product of pi and the radius squared

• Add the radius to the volume

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

How is the decimal point adjusted during division?

• Not adjusted

• Only adjusted in the divisor

• Moved to the right in both numbers

• Moved to the left in both numbers

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the height of the cylinder?

• 12 cm

• 16 cm

• 14 cm

• 10 cm

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CCSS.1.G.A.1

CCSS.2.G.A.1