Volume of Composite Figures

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What is the formula for the volume of a cylinder?

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The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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How do you calculate the volume of a hemisphere?

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The volume V of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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What is a composite figure in geometry?

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A composite figure is a shape that is made up of two or more simple geometric shapes.

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CCSS.1.G.A.2

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How do you find the volume of a composite figure?

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To find the volume of a composite figure, calculate the volume of each individual shape and then sum or subtract these volumes as necessary.

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CCSS.5.MD.C.5C

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What is the value of π (pi) used in volume calculations?

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The value of π (pi) is approximately 3.14, but it can also be used as a button on calculators for more precision.

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CCSS.HSG.GMD.A.1

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What is the significance of rounding in volume calculations?

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Rounding is important in volume calculations to provide a practical answer, especially when dealing with measurements.

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How do you determine which of two cylinders has a larger volume?

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To determine which cylinder has a larger volume, compare their dimensions (radius and height) using the volume formula for cylinders.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

Using the formula V = πr²h, the volume is V = π(5)²(10) = 250π ≈ 785.4 in³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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What is the volume of a cylinder with a radius of 3 feet and a height of 4 feet?

Back

Using the formula V = πr²h, the volume is V = π(3)²(4) = 36π ≈ 113.1 ft³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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If a cylinder has a height of 8 cm and a radius of 2 cm, what is its volume?

Back

Using the formula V = πr²h, the volume is V = π(2)²(8) = 32π ≈ 100.5 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3