Cylinders, Cones and Spheres: Calculating the volume of a sphere

Cylinders, Cones and Spheres: Calculating the volume of a sphere

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial covers the volume of a sphere, explaining the formula 4/3 π R^3 and its derivation using calculus, though calculus is not performed in the video. Two examples are provided: one using a radius of 5 meters and another using a diameter of 6 inches, demonstrating how to calculate the volume in each case. The tutorial concludes with a summary of related geometric shapes involving circles, such as cylinders and cones, emphasizing the importance of understanding these formulas through practice.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you derive the volume of a sphere using calculus?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the volume of a sphere?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

If the radius of a sphere is 5 meters, what is its volume?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What units are used when calculating the volume of a sphere?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the radius from the diameter of a sphere?

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