Cylinders, Cones and Spheres: Calculating the volume of a cylinder

The video tutorial explains the concept of calculating the volume of a cylinder. It begins by introducing the formula for the volume of a cylinder, which is the area of the base times the height, and derives it using the formula pi r squared h. The tutorial then provides two example problems: one with a given radius and another with a given diameter, demonstrating how to calculate the volume in each case. The video emphasizes understanding the formula and the process of substituting the correct values into the formula to find the volume.

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

• pi r squared h

• 2 pi r h

• pi r h squared

• 2 pi r squared h

If a cylinder has a radius of 3 meters and a height of 12 meters, what is its volume?

• 113.04 cubic meters

• 339.12 cubic meters

• 226.08 cubic meters

• 452.16 cubic meters

In the example where the radius is given, what is the first step in calculating the volume?

• Divide the height by the radius

• Multiply the radius by the height

• Square the radius

• Find the diameter

How do you find the radius if you are given the diameter of a cylinder?

• Subtract 2 from the diameter

• Multiply the diameter by 2

• Divide the diameter by 2

• Square the diameter

What is the volume of a cylinder with a diameter of 18 cm and a height of 4 cm?

• 1130.40 cubic centimeters

• 1017.36 cubic centimeters

• 678.24 cubic centimeters

• 904.32 cubic centimeters