Cylinders - Surface Area

Front

What is a cylinder?

Back

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

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

How do you find the radius of a cylinder?

Back

To find the radius, divide the diameter by 2.

Tags

CCSS.7.G.B.4

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 'lateral surface area' refer to?

Back

Lateral surface area refers to the area of the curved surface of the cylinder, excluding the bases.

Front

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

Back

Lateral Surface Area = 2π(5)(10) = 314.16 cm².

Front

What is the surface area of a cylinder with a height of 6 in and a diameter of 4 in?

Back

Total Surface Area = 2π(2)(6) + 2π(2)² = 75.36 in².

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by 1.

Tags

CCSS.5.NBT.A.4

Front

What is the value of π (pi) to two decimal places?

Back

π (pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

What is the diameter of a cylinder?

Back

The diameter is the distance across the circular base, passing through the center.