Surface Area of Cylinders

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

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

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

Back

The diameter is the distance across the base of the cylinder, passing through the center, and is twice the radius.

Front

If the diameter of a cylinder is 10 inches, what is the radius?

Back

The radius is 5 inches (radius = diameter / 2).

Tags

CCSS.7.G.B.4

Front

How do you calculate the height of a cylinder if you know the volume and the radius?

Back

Height = Volume / (πr²), where r is the radius.

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

What is the lateral surface area of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

Lateral Surface Area = 2πrh = 2 * 3.14 * 3 * 5 = 94.2 square inches.

Front

What is the total surface area of a cylinder with a radius of 4 inches and a height of 6 inches?

Back

Total Surface Area = 2πr(h + r) = 2 * 3.14 * 4 * (6 + 4) = 251.2 square inches.

Front

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

Back

The radius is half of the diameter.