Volume of Cylinders and Cones Flashcard Review

Front

What is the formula for finding the volume of a cylinder?

Back

Volume = 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

Front

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

Back

Radius = Diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

Volume = π(3)²(10) = 90π ≈ 282.7 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 6 inches and a height of 4 inches?

Back

Volume = π(3)²(4) = 36π ≈ 113.1 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cylinder in terms of diameter?

Back

Volume = (π/4)D²h, where D is the diameter and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round a volume to the nearest tenth?

Back

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

Tags

CCSS.5.NBT.A.4

Front

What is the volume of a cone with a radius of 2 inches and a height of 5 inches?

Back

Volume = (1/3)π(2)²(5) = (1/3)π(20) ≈ 20.9 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3