Geometry | Volume of a Cylinder

The video tutorial explains how to calculate the volume of a cylinder. It begins by describing the properties of a cylinder, such as having circular ends of equal size and a height. The tutorial then explains the concepts of diameter and radius of a circle, which are essential for calculating the volume. The formula for the volume of a cylinder is given as pi times the radius squared times the height. An example problem is solved, demonstrating how to apply the formula using given dimensions. The tutorial concludes by discussing the importance of using cubic units for volume and suggests leaving the answer in terms of pi for exactness.

What is the relationship between the diameter and the radius of a circle?

• The diameter is three times the radius.

• The diameter is twice the radius.

• The diameter is half the radius.

• The diameter is equal to the radius.

Which of the following is the correct formula for the area of a circle?

• pi times radius times diameter

• 2 times pi times radius

• pi times radius squared

• pi times diameter squared

What is the formula for calculating the volume of a cylinder?

• 2 times pi times radius times height

• pi times radius times height

• pi times radius squared times height

• pi times diameter squared times height

If a cylinder has a diameter of 8 mm and a height of 10 mm, what is its radius?

• 5 mm

• 4 mm

• 10 mm

• 8 mm

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

• It is a larger number.

• It is a smaller number.

• It provides an exact answer.

• It is easier to calculate.