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Volume of a Sphere worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
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Prerequisite knowledge: Substituting values into formulae. Pythagoras' Theorem. Finding the area of a circle. Rearranging formulae.
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Volume of a Sphere worksheet description

The worksheet on the volume of a sphere is structured to guide students through progressively challenging problems.

In Section A, students are required to calculate the volume of several spheres, using either a given radius or diameter and providing answers both to two decimal places and in terms of π.

Section B presents problems where students need to find either the radius or the diameter of spheres, given their volumes. This section reinforces the reverse application of the volume formula and enhances understanding of the relationship between volume, radius, and diameter.

Section C introduces more complex tasks, such as spotting and correcting errors in calculations, finding the volume of partial spheres, working with density and volume, calculating the percentage of empty space in a box containing a basketball, the volume of compound solids, and an estimation of Earth's volume, reinforcing problem-solving skills across different contexts.

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