Volume of a Cylinder

Front

What is the formula for the volume of a cylinder?

Back

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

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between radius and diameter?

Back

The radius is half the length of the diameter. The diameter is the distance across the circle through its center.

Front

If a cylinder has a radius of 4 inches and a height of 10 inches, what is its volume?

Back

V = π(4)²(10) = 160π ≈ 502.65 cubic inches.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic inches (in³).

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Front

How do you convert the volume from cubic inches to cubic feet?

Back

Divide the volume in cubic inches by 1728 (since 1 cubic foot = 12³ = 1728 cubic inches).

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Front

What is the volume of a cylinder with a radius of 5 cm and a height of 12 cm?

Back

V = π(5)²(12) = 300π ≈ 942.48 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius (d = 2r).

Front

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

Back

The volume increases by a factor of four, since V = π(2r)²h = 4πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 9 inches?

Back

V = π(3)²(9) = 81π ≈ 254.47 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is π (pi) approximately equal to?

Back

π is approximately equal to 3.14.

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