Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004 AND Mathematical Studies Standard Level Peter Blythe, Jim Fensom, Jane Forrest and Paula Waldman de Tokman Oxford University Press, 2012
Volumes of 3D Solids The volume of a solid is the amount of space it occupies. Volume is measured in cubic units, cm 3, m 3, etc. – Type 2: Volume of objects with curved surfaces There are four types: – Cylinder – Pyramid (oops, sorry) – Cone – Sphere
Cylinder Volume of a cylinder:
Pyramid Volume of a pyramid:
Cone Volume of a cone:
Sphere Volume of a sphere:
Find the volume of the following: Practice
Find r if a cylinder has base radius r cm, height 3.9 cm and has a volume of cm 3. Practice