Finding the Volume of a Cylinder

The video tutorial explains how to calculate the volume of a cylinder using the concept of stacking circles. It reviews the volume formulas for rectangular and triangular prisms, and explains the formula for the area of a circle. The main lesson focuses on deriving the cylinder volume formula, pi r squared h, and provides an example calculation. The tutorial emphasizes the importance of precision by leaving answers in terms of pi and highlights common mistakes, such as confusing circumference with area.

What is the formula for calculating the volume of a rectangular prism?

• Base area times height

• Length times width times height

• Radius squared times height

• Circumference times height

How do you calculate the area of a circle?

• pi d

• pi r squared

• r squared

• 2 pi r

Which formula is used to find the volume of a cylinder?

• 2 pi rh

• pi r squared h

• pi d squared h

• r squared h

Why is it recommended to leave the volume of a cylinder in terms of pi?

• It is a standard practice

• It is more precise

• It simplifies the formula

• It is easier to calculate

What common mistake might students make when calculating the volume of a cylinder?

• Using the circumference instead of the area

• Using the diameter instead of the radius

• Using the height instead of the radius

• Using the base area of a prism