GCSE Maths (AQA)

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Geometry and measures Mensuration and calculation

Volume of a Sphere

2:43 know the formulae: circumference of a circle = 2πr = πd; area of a circle = πr²; calculate perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids
Spec G17
Previous Surface Area of a Sphere Next Similarity & Perimeter
  • The volume of a sphere is proportional to the cube of the radius
  • The formula for the volume of a sphere is 4/3 * pi * r^3
  • Pi is an irrational number that represents the ratio of a circle's circumference to its diameter
  • The radius is the distance from the center of a sphere to any point on its surface
  • To find the radius of a sphere, you can rearrange the formula and solve for r
  • The formula for the radius is r = cube root of (3/4 * pi * volume)
  • Use the given volume to calculate the radius using a calculator
  • Use the pi button on the calculator instead of a rounded value for pi
  • The final answer should be rounded to three significant figures (SF)

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372

questions for Geometry and measures

190

questions for Mensuration and calculation