Cylinder -- Surface Area

Front

What is the formula to find 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 is the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, 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

Radius = Diameter / 2.

Front

What units are used to measure surface area?

Back

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

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2π(3)(10) = 60π ≈ 188.5 cm².

Front

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

Back

Total Surface Area = 2πr(h + r) = 2π(4)(5 + 4) = 72π ≈ 226.9 cm².

Front

What is the significance of π in the formulas for the surface area of a cylinder?

Back

π (pi) is a constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

Front

How do you calculate the surface area of the top and bottom of a cylinder?

Back

Area of top and bottom = 2πr², where r is the radius.

Front

If a cylinder has a diameter of 10 inches, what is its radius?

Back

Radius = Diameter / 2 = 10 inches / 2 = 5 inches.

Front

What is the total surface area of a cylinder with a height of 7 m and a diameter of 6 m?

Back

Total Surface Area = 2πr(h + r) = 2π(3)(7 + 3) = 60π ≈ 188.5 m².