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 the lateral surface area of a cylinder represent?

Back

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

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

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

Back

Total Surface Area = 2π(5)(10 + 5) = 471.24 cm².

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area that the surface of an object occupies, while volume measures the amount of space inside the object.

Front

How do you convert the radius from inches to centimeters?

Back

Multiply the radius in inches by 2.54 to convert to centimeters.

Front

What is the significance of π (pi) in the surface area formulas?

Back

π is a constant approximately equal to 3.14, used to relate the diameter or radius of a circle to its circumference and area.

Front

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

Back

If the radius is doubled, the total surface area increases by a factor of four.

Front

What is the total surface area of a cylinder with a radius of 3 inches and a height of 7 inches?

Back

Total Surface Area = 2π(3)(7 + 3) = 188.4 in².

Front

What units are used for measuring surface area?

Back

Surface area is measured in square units, such as square inches (in²), square centimeters (cm²), or square meters (m²).