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 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

What does 'π' represent in the formulas for surface area?

Back

π (pi) is a mathematical constant approximately equal to 3.14.

Front

If the diameter of a cylinder is 10, what is the radius?

Back

The radius is half of the diameter, so the radius is 5.

Front

How do you calculate the height of a cylinder if you know the total surface area and radius?

Back

Rearrange the total surface area formula: h = (Total Surface Area / (2πr)) - r.

Front

What is the total surface area of a cylinder with a radius of 3 and height of 5?

Back

Total Surface Area = 2π(3)(5 + 3) = 2π(3)(8) = 48π ≈ 150.8.

Front

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

Back

Lateral Surface Area = 2π(4)(10) = 80π ≈ 251.2.

Front

How do you round a number to the nearest tenths?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the total surface area of a cylinder with a radius of 2 and height of 7?

Back

Total Surface Area = 2π(2)(7 + 2) = 2π(2)(9) = 36π ≈ 113.1.

Front

If a cylinder has a radius of 6 and a height of 3, what is its lateral surface area?

Back

Lateral Surface Area = 2π(6)(3) = 36π ≈ 113.1.