Skip to content
MathsGenie logo
Open app

Course home

  1. GCSE
  3. Maths OCR
  5. Question bank

Spheres and Cones

MediumHard
1234
Question 1
57%

The diagram shows a cone.

Diagram of a cone with height 20 cm and base diameter 16 cm.

Volume of cone=13πr2h \text{Volume of cone} = \frac{1}{3}\pi r^2 h Volume of cone=31​πr2h Curved surface area of cone=πrl \text{Curved surface area of cone} = \pi r l Curved surface area of cone=πrl

Diagram of a cone showing radius r, height h, and slant height l.

The height of the cone is 20 cm. The base of the cone has a diameter of 16 cm.

Work out the volume of the cone. Give your answer correct to 3 significant figures.

[2]

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