Skip to content
MathsGenie logo
Open app

Course home

  1. GCSE
  2. Maths OCR
  3. Question bank

Spheres and Cones

MediumHard
123456789101112131415161718192021
Question 1
59%

The diagram shows a sphere and a cube.

Diagram of a sphere with radius r. Diagram of a cube with side length 6 cm.

The cube has length 6 cm. The sphere and the cube have the same volume.

Volume of sphere=43πr3 \text{Volume of sphere} = \frac{4}{3}\pi r^3 Volume of sphere=34​πr3 Surface area of sphere=4πr2 \text{Surface area of sphere} = 4\pi r^2 Surface area of sphere=4πr2

Small diagram of a sphere with radius r.

Work out the radius of the sphere. Give your answer correct to 3 significant figures.

[3]

Spheres and Cones Questions

  1. GCSE
  2. /Maths
  3. /Spheres and Cones

Practise OCR GCSE Maths Spheres and Cones with exam-style questions for Foundation and Higher tier. 25 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Writing a Ratio as a Fraction or Linear Function
Direct and Inverse Proportion
Reverse Percentages
Standard Form
Speed and Density
Changing the Subject of a Formula
Expanding and Factorising Quadratics
Solving Quadratics
Drawing Quadratic Graphs
Drawing Other Graphs: Cubic/Reciprocal
Simultaneous Equations
Solving Simultaneous Equations Graphically
Gradient of a Line
Equation of a Line
Spheres and Cones
Sector Areas and Arc Lengths
Similar Shapes (Lengths)
SOHCAHTOA (Trigonometry)
Exact trig values
Vectors
Probability Trees
Venn Diagrams