Surface Area of Cylinders

The video tutorial covers the surface area of cylinders, explaining the formula and its components, including the circular bases and the lateral surface area. It provides step-by-step solutions to example problems, demonstrating how to calculate the surface area and round the results. The tutorial also explores the concept of lateral surface area in practical applications, such as labeling cans, and discusses the proportional relationship between surface area and recycling value. Additionally, it examines the effects of doubling dimensions on surface area and recycling value.

What are the main components of a cylinder's surface area?

• Two circular bases and a rectangle

• Two rectangles

• Three circular bases

• A square and a triangle

Which part of the cylinder's surface area is sometimes referred to as the lateral surface area?

• The circular bases

• The top base only

• The rectangle

• The entire surface area

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

• πr² + πrh

• πr² + 2πrh

• 2πr² + πrh

• 2πr² + 2πrh

If a cylinder has a radius of 4 mm and a height of 3 mm, what is the surface area rounded to the nearest tenth?

• 165.2 mm²

• 170.5 mm²

• 180.0 mm²

• 175.8 mm²

In a practice problem, if the radius is 6 and the height is 9, what is the total surface area?

• 550.3 yards

• 600.5 yards

• 500.0 yards

• 565.2 yards

For a cylinder on its side with a radius of 3 and height of 18, what is the rounded surface area?

• 169.6 cm²

• 160.0 cm²

• 175.0 cm²

• 180.0 cm²

How much paper is used for the label on a can of peas if it only covers the lateral surface?

• 12.56 inches²

• 15.00 inches²

• 10.00 inches²

• 20.00 inches²

If the recycling value is proportional to the surface area, how much can you earn for a can with a surface area of 94.2 inches²?

• 7 cents

• 3 cents

• 10 cents

• 5 cents

Does doubling the height of a can of peas double the amount of paper used for the label?

• Yes, it doubles

• No, it decreases

• Yes, but only if the radius is also doubled

• No, it stays the same

Does the recycling value double if only the height of the can is doubled?

• No, because only the rectangle doubles

• Yes, it doubles

• No, it stays the same

• Yes, but only if the radius is also doubled