Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where V is the volume, r is the radius of the base, and h is the height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

V = π(5 cm)²(10 cm) = 250π cm³ ≈ 785.4 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π used in volume calculations?

Back

π is approximately 3.14.

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CCSS.HSG.GMD.A.1

Front

If a cylinder has a height of 15 cm and a base radius of 4 cm, what is its volume?

Back

V = π(4 cm)²(15 cm) = 240π cm³ ≈ 753.9 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume is expressed in cubic units, such as cm³, m³, in³, etc.

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CCSS.5.MD.C.4

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Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What happens to the volume of a cylinder if the height is doubled?

Back

The volume of the cylinder also doubles, as volume is directly proportional to height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a cylinder to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

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CCSS.5.NBT.A.4

Front

What is the significance of the base radius in the volume formula for a cylinder?

Back

The base radius determines the area of the circular base, which is crucial for calculating volume.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3