Surface Area and Volume of Cylinders

The video tutorial explains how to find the height of a cylinder given its surface area. The instructor sets up the problem by identifying known values and the formula for surface area. They substitute the known values into the formula and simplify the equation. Using the order of operations, they solve for the unknown variable, the height, by isolating it on one side of the equation. The tutorial concludes with the final calculation, determining the height of the cylinder.

What is the given surface area of the cylinder in the problem?

• 450

• 300

• 603

• 150

What is the radius of the cylinder as mentioned in the problem?

• 7

• 3

• 10

• 5

Which variable represents the height of the cylinder in the problem?

• Z

• Y

• X

• H

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

• 2πr² + 2πrh

• πr²h

• 2πrh

• πr²

What value is substituted for the radius in the formula?

• 5

• 3

• 7

• 10

What is the first step in solving the equation after substituting known values?

• Add 3 to both sides

• Multiply both sides by 2

• Subtract 3 from both sides

• Divide both sides by 2πr

What is the order of operations acronym mentioned in the video?

• SADMAP

• BODMAS

• PEMDAS

• GEMDAS

What should be done last according to the order of operations when solving for a variable?

• Subtract

• Solve inside parentheses

• Multiply

• Add

What is the result of dividing 603 by 6π?

• 34

• 28

• 30

• 32

What is the final step to find the height of the cylinder?

• Divide by 2

• Multiply by 2

• Subtract 3 from both sides

• Add 3 to both sides