Surface Area and Volume of Cylinders

The video tutorial explains how to calculate the surface area of a cylinder using the formula: surface area equals 2πr times height plus 2πr squared. It breaks down the formula into components, explaining that 2πr is the circumference and how it relates to the rectangle formed when the cylinder is unfolded. The video provides two examples with different dimensions, demonstrating the step-by-step process of plugging in values, solving each part of the equation separately, and ensuring the correct use of order of operations. The tutorial concludes with a review of the formula and emphasizes the importance of double-checking calculations.

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

• 2πr + 2πrh

• 2πrh + 2πr²

• πr²h + 2πr

• 2πr² + rh

What does the term 2πr represent in the formula for the surface area of a cylinder?

• The volume of the cylinder

• The height of the cylinder

• The area of the base

• The circumference of the base

In the first example, what is the radius of the cylinder?

• 2

• 7

• 5

• 3

In the first example, what is the height of the cylinder?

• 5

• 7

• 9

• 2

What is the final surface area calculated in the first example?

• 120.04 inches squared

• 113.04 inches squared

• 110.04 inches squared

• 115.04 inches squared

In the second example, what is the radius of the cylinder?

• 6

• 8

• 4

• 10

In the second example, what is the height of the cylinder?

• 12

• 14

• 8

• 10

What is the final surface area calculated in the second example?

• 670.24 yards squared

• 675.24 yards squared

• 680.24 yards squared

• 678.24 yards squared

Why is it important to solve each part of the formula separately?

• To make the calculation faster

• To use fewer calculator steps

• To simplify the formula

• To avoid errors in the order of operations

What should you do to ensure the accuracy of your calculations?

• Use a different formula

• Check the calculations twice

• Ask a friend to verify

• Use a larger calculator