3D Shapes - Volume

3D Shapes - Volume

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to find the height of a frustum from a large cone using volume ratios. It begins by establishing the relationship between the large cone, the small cone, and the frustum. The tutorial then demonstrates how to use cube roots to find the ratio of lengths and derive an expression for the frustum's height in terms of the large cone's height. The video also discusses the marking scheme and highlights the importance of understanding relationships over using formulas due to limited information.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the ratio 2/5 in this context?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it not possible to use the formula for the volume of the cone to calculate the height in this problem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the method used to find the expression for the height of the frustum.

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