Volume of a Cylinder

Front

What is the formula for the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the variable 'r' represent in the volume formula for a cylinder?

Back

The variable 'r' represents the radius of the base of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the variable 'h' represent in the volume formula for a cylinder?

Back

The variable 'h' represents the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is V = π(5)²(10) = 250π ≈ 785.4 units³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder if you know the diameter?

Back

First, divide the diameter by 2 to get the radius, then use the formula V = πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume is V = π(3)²(4) = 36π ≈ 113.1 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

In the context of a cylinder, what is a 'right cylinder'?

Back

A right cylinder is one where the sides are perpendicular to the bases.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

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

Back

π (pi) is a constant approximately equal to 3.14159, used to relate the diameter of a circle to its circumference and area.

Front

If a cylinder is partially filled, how do you find the volume of the filled portion?

Back

Calculate the volume of the entire cylinder and then multiply by the percentage of height filled.

Tags

CCSS.5.MD.C.5C

Front

What is the volume of a cylinder with a height of 60 feet and a diameter of 12 feet filled to 50%?

Back

The volume of the filled portion is approximately 3391.2 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3