Cylinder Volume and Height Calculations

The video tutorial explains how to find the height of a cylinder given its volume. It begins by introducing the volume formula for a cylinder, which is the product of the base area (πr²) and the height (h). The tutorial then demonstrates how to calculate the base area using the given radius and solve for the height by dividing the volume by the base area. The process is broken down into clear steps, ensuring that viewers understand how to isolate and calculate the height. The video concludes with a recap of the steps involved in solving for the cylinder's height.

What is the formula for the volume of a cylinder?

• PI R cubed

• 2 PI R squared

• 2 PI R times height

• PI R squared times height

What does PI R squared represent in the context of a cylinder?

• The circumference of the cylinder

• The height of the cylinder

• The volume of the cylinder

• The base area of the cylinder

What is the first step in solving for the height of a cylinder given its volume?

• Calculate the circumference

• Find the base area

• Determine the radius

• Subtract the height

If the radius of a cylinder is 6, what is the value of PI R squared?

• 18 PI

• 12 PI

• 36 PI

• 24 PI

What is the next step after substituting the known values into the volume formula?

• Divide both sides by 36 and PI

• Add 36 to both sides

• Subtract 6 from both sides

• Multiply both sides by PI

What happens to the PI terms when you divide both sides of the equation by PI?

• They double

• They remain unchanged

• They cancel out

• They add up

What is the final height of the cylinder when the volume is 288 PI and the radius is 6?

• 8

• 12

• 10

• 6

Why is it necessary to divide by 36 in the final step?

• To calculate the volume

• To isolate the height

• To isolate the radius

• To find the base area

What is the significance of the number 36 in the equation?

• It is the height of the cylinder

• It is the circumference of the base

• It is the volume of the cylinder

• It is the square of the radius