Calculating Volumes of Cones, Spheres, and Pyramids

Calculating Volumes of Cones, Spheres, and Pyramids

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the geometry of cones, spheres, and pyramids, focusing on their structures and volume calculations. It explains that the volume of a pyramid is one-third of the prism surrounding it and provides the formula for the volume of a sphere. The tutorial includes examples of calculating the volumes of these shapes and discusses how to handle combined shapes like a cone and hemisphere. Key formulas and steps are highlighted to aid understanding.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the volume of a pyramid and the volume of the prism that surrounds it?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the radius of a sphere if the diameter is given?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of calculating the volume of a combined shape made of a cone and a hemisphere.

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