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 'lateral surface area' refer to in the context of a cylinder?

Back

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

Front

What does 'total surface area' include for a cylinder?

Back

Total surface area includes the lateral surface area plus the area of the two circular bases.

Front

If a cylinder has a height of 6 in and a diameter of 4 in, what is the radius?

Back

The radius is half of the diameter, so the radius is 2 in.

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the approximate value of π used in calculations?

Back

The approximate value of π is 3.14.

Front

If the radius of a cylinder is doubled, how does that affect the lateral surface area?

Back

The lateral surface area increases by a factor of 2, since it is proportional to the radius.

Front

What is the total surface area of a cylinder with a radius of 3 in and a height of 5 in?

Back

Total Surface Area = 2π(3)(5 + 3) = 2π(3)(8) = 48π ≈ 150.8 in².

Front

What is the lateral surface area of a cylinder with a radius of 4 in and a height of 10 in?

Back

Lateral Surface Area = 2π(4)(10) = 80π ≈ 251.2 in².