Volume of a Cylinder: Using Radius and Height

Volume of a Cylinder: Using Radius and Height

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Hard

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The video tutorial explains how to calculate the volume of a right circular cylinder using its radius and height. It begins with a problem setup, asking viewers to find the volume given certain dimensions. The instructor explains the formula for volume, which is the area of the base times the height, and adapts it for a cylinder using πR² for the base area. The video guides viewers through identifying the radius and height from the given diameter and height, and then demonstrates the calculation step-by-step, leaving the answer in terms of π. The tutorial concludes with encouragement to continue learning math.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the area of the base of a cylinder is calculated using the formula πR².

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the radius of a cylinder when given the diameter?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the height of the cylinder in the problem?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final volume of the cylinder expressed in terms of π?

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