Volume of a Cylinder

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = πr²h, where r is the radius and h is the height.

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CCSS.8.G.C.9

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Front

How do you find the radius of a cylinder if you know the diameter?

Back

The radius (r) is half of the diameter (d). So, r = d/2.

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Front

If a cylinder has a radius of 3 inches and a height of 9 inches, what is its volume?

Back

The volume is 254.5 cubic inches.

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Front

What is the volume of a cylinder with a diameter of 10 feet and a height of 18.5 feet?

Back

The volume is 1452.98 cubic feet.

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CCSS.8.G.C.9

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Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

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Front

What is the volume of a soup can that has a diameter of 11 inches and a height of 4 inches?

Back

The volume is 380.1 cubic inches.

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CCSS.8.G.C.9

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Front

What is the height of a cylinder if its volume is 603.2 cubic inches and the radius is 4 inches?

Back

Using the formula V = πr²h, the height h can be calculated as h = V / (πr²). In this case, h = 603.2 / (π * 4²) = 12.0 inches.

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Front

What units are used to measure the volume of a cylinder?

Back

Volume can be measured in cubic units, such as cubic inches (in³), cubic feet (ft³), or liters (L).

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Front

What does π (pi) represent in the volume formula of a cylinder?

Back

π (pi) is a mathematical constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

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CCSS.HSG.GMD.A.1

Front

If the radius of a cylinder is doubled, how does that affect the volume?

Back

If the radius is doubled, the volume increases by a factor of four, since volume is proportional to the square of the radius (V = π(2r)²h = 4πr²h).

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CCSS.8.G.C.9

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