Cylinder -- Surface Area

Front

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

Back

The surface area (SA) of a cylinder is given by the formula: SA = 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 know the diameter?

Back

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

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 an object occupies.

Front

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

Back

Total Surface Area = 2πr(h + r) = 2π(5)(10 + 5) = 471.24 square cm.

Front

What units are used to measure surface area?

Back

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

Front

What is the lateral surface area of a cylinder?

Back

The lateral surface area (LSA) of a cylinder is the area of the curved surface, calculated as LSA = 2πrh, where r is the radius and h is the height.

Front

How do you calculate the total surface area of a cylinder?

Back

Total Surface Area = Lateral Surface Area + Area of the two bases = 2πrh + 2πr².

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) + 2π(3)² = 188.4 square inches.

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is given by the formula: V = πr²h, where r is the radius and h is the height.

Front

If a cylinder has a volume of 300 cm³ and a height of 10 cm, what is its radius?

Back

Using the formula V = πr²h, we can rearrange to find r: r = sqrt(V / (πh)) = sqrt(300 / (π * 10)) ≈ 3.09 cm.