Similar Shapes: Finding the Curved Surface Area of a Cylinder

The video tutorial explains how to calculate the curved surface area of a cylinder using a given formula and how to find the radius of a mathematically similar cylinder using a scale factor. It emphasizes the importance of using consistent units and rounding answers to three significant figures. The tutorial also highlights the steps to correctly substitute values into formulas and the significance of understanding mathematical similarity in geometry.

What is the height of Cylinder A?

• 1.6 meters

• 1.0 meters

• 0.56 meters

• 2.0 meters

Which formula is used to calculate the curved surface area of a cylinder?

• πr²

• 2πrh

• 2πr²

• πd

What is the curved surface area of Cylinder A rounded to three significant figures?

• 5.62 m²

• 5.63 m²

• 5.65 m²

• 5.64 m²

How many marks are available for correctly substituting values into the formula in Part A?

• One mark

• Two marks

• Three marks

• Four marks

What is the height of Cylinder B?

• 1.6 meters

• 0.56 meters

• 2.0 meters

• 0.6 meters

What is the scale factor used to find the radius of Cylinder B?

• 0.5

• 0.75

• 0.375

• 0.25

What is the radius of Cylinder B?

• 0.56 meters

• 0.375 meters

• 0.21 meters

• 0.6 meters