This video tutorial introduces the concept of volume, focusing on cylinders. It explains how to calculate the volume of a cylinder using the formula V = πr²h, where the base area is calculated using πr². The tutorial includes practice problems to reinforce the calculation process and discusses how to express volume in terms of pi for exact answers. It concludes with real-world application problems, such as finding the volume of a washing machine drum and multiple cans of soup.

What does the volume of a 3D figure represent?

• The amount of space a figure occupies

• The surface area of the figure

• The perimeter of the figure's base

• The length of the figure

What is the formula for the volume of a cylinder?

• V = πr + h

• V = πr^2 + h

• V = πr^2h

• V = 2πrh

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How do you calculate the area of a cylinder's base?

• πr^2

• 2πr

• πd

• r^2h

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In the formula for the volume of a cylinder, V = πr^2h, what does 'h' represent?

• The circumference of the base

• The height of the cylinder

• The radius of the base

• The diameter of the base

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What is the volume of a cylinder with a radius of 7 and height of 3, in terms of pi?

• 153.86π

• 66π

• 147π

• 21π

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When calculating volume in terms of pi, why do we leave the pi symbol in our solution?

• To make the calculation more complex

• Because pi is an irrational number

• To use less ink when writing

• To simplify the calculation

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If a cylinder has a diameter of 14 feet, what is the radius used in the volume formula?

• 7

• 3.5

• 14

• 28

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What is the correct formula to find the volume of a cylinder with a diameter of 14 feet and height of h feet?

• V = π * 14h

• V = π * 14^2 * h

• V = π * 7^2 * h

• V = 2π * 7h

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What is the volume of a washing machine drum that is shaped like a cylinder with a diameter of 3 feet and a height of 2.5 feet?

• 3.14 feet cubed

• 7.065 feet cubed

• 22.5 feet cubed

• 17.66 feet cubed

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How do you find the total volume of six cans of soup, each with a diameter of 1.5 inches and height of 2 inches?

• Multiply the volume of one can by 6

• Square the diameter and multiply by the height

• Add the diameters and multiply by the height

• Multiply the diameter by the height and then by 6

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