Surface Area of Cylinder

Front

What is the formula for the total surface area of a cylinder?

Back

The total surface area (A) of a cylinder is given by the formula A = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

To find the radius, divide the diameter by 2. Radius (r) = Diameter (d) / 2.

Front

What units are used to measure the surface area of a cylinder?

Back

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

Front

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

Back

The radius is one-half of the diameter. Radius (r) = 1/2 * Diameter (d).

Front

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

Back

Using the formula A = 2πr(h + r), the total surface area is approximately 471.24 cm².

Front

What is the lateral surface area of a cylinder?

Back

The lateral surface area (L) of a cylinder is given by the formula L = 2πrh, where r is the radius and h is the height.

Front

How do you convert square centimeters to square inches?

Back

To convert square centimeters to square inches, multiply the area in square centimeters by 0.155. (1 cm² = 0.155 in²).

Front

What is the significance of π (pi) in the surface area formula of a cylinder?

Back

π (pi) is a mathematical constant approximately equal to 3.14159, used to relate the diameter and circumference of a circle to its area.

Front

If a cylinder has a height of 15 cm and a radius of 3 cm, what is the lateral surface area?

Back

The lateral surface area is L = 2πrh = 2π(3)(15) = 282.74 cm².

Front

What is the total surface area of a cylinder with a radius of 4 m and a height of 10 m?

Back

Using the formula A = 2πr(h + r), the total surface area is approximately 351.86 m².