Surface Area of Cylinders

Front

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

Back

Lateral 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 area' refer to in the context of a cylinder?

Back

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

Front

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

Back

Radius = Diameter / 2.

Front

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

Back

The radius is one-half of the diameter.

Front

What is the unit of measurement for surface area?

Back

Square units (e.g., square inches, square centimeters).

Front

If the radius of a cylinder is 5 inches and the height is 10 inches, what is the lateral area?

Back

Lateral Area = 2π(5)(10) = 100π ≈ 314.16 square inches.

Front

What is the 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) = 2π(3)(10) = 60π ≈ 188.4 square inches.

Front

What is the significance of π (pi) in calculations involving circles and cylinders?

Back

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

Front

What is the surface area of a cylinder with a radius of 4 inches and a height of 5 inches?

Back

Total Surface Area = 2π(4)(5 + 4) = 2π(4)(9) = 72π ≈ 226.2 square inches.