Step-by-Step Process - Calculating Cone Volume via Cylinder Formula

Step-by-Step Process - Calculating Cone Volume via Cylinder Formula

Assessment

Interactive Video

Physics, Science, Engineering, Other

4th Grade - University

Hard

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The video tutorial explains how to calculate the volume of a cone by comparing it to a cylinder. It begins with a review of the cylinder volume formula, V = πR²H, and demonstrates that a cone's volume is one-third of a cylinder's volume with the same base and height. An example is provided using a cone with a height of 9 cm and a radius of 2 cm, resulting in a volume of 12π cubic centimeters. The tutorial emphasizes the importance of including the 1/3 factor in the formula to avoid common mistakes.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the volume of a cone compare to the volume of a cylinder with the same base area and height?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What values were used to calculate the volume of the example cone?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final volume of the cone in terms of π?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it important to remember the 1/3 factor when calculating the volume of a cone?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the volume of a cone?

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