Grade A Volume Calculate the volume of spheres

Grade A* Volume Calculate the volume of spheres, pyramids, cones and composite solids. If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Formula Substitute Area of a cross-section

How to find the volume of a shape • Is there a standard formula? OR • Is the shape a pyramid or prism? OR • Find the volume of each of the component parts.

How to find the volume of a sphere Learn the formula: r=3 cm

How to find the volume of a pyramid Learn the formula: 1/3 xbase x height Height = 5. 2 cm Find the area of the base: 6 cm Substitute that in to the formula: This works for all types of pyramid – be it a tetrahedron or a cone or a pyramid with an irregular base

How to find the surface area of a cone Same as a pyramid: 8. 1 cm 9 cm Area of base: 8 cm Substitute into formula:

Practice For these questions, use r=3 cm and h=5 cm Find the surface area of: 1) A square based pyramid, base length of 2 cm. 2) A cone 3) A sphere

Reasoning. Am I Correct? Explain why. r= 8 cm

Problem Solving and Reasoning 22 cm 8 cm Oil is used to fill the cone to burn as a light. Oil comes in 1 litre bottles and is 85 p per bottle. Jake has £ 10, is that enough to fill the cone? 1/3 xπx 83 x 22 Remember to convert 3 11795. 6 cm from £ to p or vice versa 1000 cm 3=1 litre AND to make a decision. 11. 8 (12 litres needed) 12 x 0. 85=£ 10. 20 – not enough money

Problem Solving and Reasoning A cone and a hemisphere have the same volume and the same radius. What is the height of the cone in terms of r? volume of hemisphere volume of cone