Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where V is volume, r is radius, h is height, and π (pi) is approximately 3.14.

Tags

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

The radius is half of the diameter. r = diameter / 2.

Tags

CCSS.7.G.B.4

Front

If a cylinder has a height of 10 cm and a radius of 5 cm, what is its volume?

Back

V = 3.14 × 5² × 10 = 785 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the term 'cylinder' refer to in geometry?

Back

A cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.

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CCSS.1.G.A.1

CCSS.2.G.A.1

Front

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

Back

π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you round a number to the nearest tenths?

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 volume of a cylinder with a radius of 2 cm and a height of 3 cm?

Back

V = 3.14 × 2² × 3 = 37.68 cm³, rounded to 37.7 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a diameter of 4 cm, what is its radius?

Back

The radius is 2 cm (4 cm / 2).

Tags

CCSS.7.G.B.4

Front

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

Back

V = 3.14 × 3² × 7 = 65.94 cm³, rounded to 65.9 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder using the diameter?

Back

Use the formula V = π(d/2)²h, where d is diameter.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3