Surface Area of Cylinders

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' of a cylinder refer to?

Back

The lateral surface area is the area of the curved surface of the cylinder, excluding the top and bottom.

Front

How do you calculate 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 value of π (pi) commonly approximated to in calculations?

Back

π is commonly approximated to 3.14.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2 * 3.14 * 3 * 5 = 94.2 cm².

Front

What is the total surface area of a cylinder with a radius of 2 in. and a height of 4 in.?

Back

Total Surface Area = 2πr(h + r) = 2 * 3.14 * 2 * (4 + 2) = 75.36 in².

Front

What is the surface area of the top and bottom of a cylinder?

Back

Surface Area of Top and Bottom = 2πr².

Front

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

Back

Radius = Diameter / 2.

Front

What is the total surface area of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

Total Surface Area = 2πr(h + r) = 2 * 3.14 * 5 * (5 + 5) = 314 cm².

Front

If the lateral surface area of a cylinder is 62.8 cm² and the height is 4 cm, what is the radius?

Back

Radius = Lateral Surface Area / (2πh) = 62.8 / (2 * 3.14 * 4) = 5 cm.