Volume of Cylinder

Front

What is the formula for the volume of a cylinder?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the term 'radius' mean in relation to a cylinder?

Back

The radius is the distance from the center of the base of the cylinder to its edge.

Front

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

Back

Diameter = 2 × radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between diameter and radius in a cylinder?

Back

The diameter is twice the radius.

Tags

CCSS.HSG.C.A.2

Front

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

Back

V = π(3)²(10) = 90π ≈ 282.74 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of π (pi) in the volume formula of a cylinder?

Back

π is a constant approximately equal to 3.14, used to calculate the area of the circular base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does increasing the height of a cylinder affect its volume?

Back

Increasing the height increases the volume, 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 5 inches and a height of 12 inches?

Back

V = π(5)²(12) = 300π ≈ 942.48 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the volume of a cylinder is known, how can you find the height if the radius is given?

Back

Rearrange the volume formula: h = V / (πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

First, find the radius: r = 5 cm. Then, V = π(5)²(5) = 125π ≈ 392.70 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3