Volume of a Cylinder

The video tutorial covers the concept of finding the volume of a cylinder, comparing it to prisms, and applying the formula V = πr²h. It explains the properties of cylinders, including radius, height, and circumference. The tutorial provides examples of calculating volume, finding height and radius from given volumes, and applying these concepts to real-world problems like a swimming pool.

What is the main objective of the lesson on the volume of a cylinder?

• To calculate the perimeter of a rectangle

• To learn about the surface area of a cylinder

• To understand the relationship between prisms and cylinders

• To find the volume of a sphere

Which of the following best describes a cylinder?

• A flat shape with no thickness

• A three-dimensional figure with a square base and a pointed top

• A two-dimensional shape with four equal sides

• A three-dimensional figure with two parallel congruent circular bases connected by a curved surface

How do you calculate the volume of a cylinder?

• Length times width times height

• Base area times height

• Pi times radius squared times height

• Circumference times height

If a cylinder has a radius of 4 inches and a height of 9 inches, what is its volume in terms of pi?

• 72 pi cubic inches

• 36 pi cubic inches

• 144 pi cubic inches

• 108 pi cubic inches

Given a cylinder with a volume of 2,000 pi cubic inches and a radius of 5 inches, what is the height?

• 40 inches

• 60 inches

• 80 inches

• 100 inches

What is the radius of a cylinder if its volume is 226.08 cubic feet and its height is 8 feet, using pi as 3.14?

• 2 feet

• 3 feet

• 4 feet

• 5 feet

How do you find the radius of a cylinder if you know the volume and height?

• Add the height to the volume and then take the square root

• Subtract the height from the volume and then take the square root

• Multiply the volume by the height and then take the square root

• Divide the volume by the height and then take the square root

In the swimming pool problem, what is the first step to find the volume of water in the pool?

• Measure the depth of the water

• Determine the volume of the entire pool

• Find the radius of the pool

• Calculate the surface area of the pool

If a pool is 70% full, how do you calculate the volume of water it contains?

• Add 70 to the total volume

• Divide the total volume by 0.7

• Subtract 70 from the total volume

• Multiply the total volume by 0.7

What is the volume of a pool with a diameter of 16 feet and a height of 8 feet, if it is 70% full?

• 2,000 cubic feet

• 1,800 cubic feet

• 1,607.68 cubic feet

• 1,125.376 cubic feet