1. 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

2. Surface Areas of 3D Solids The surface area of a solid is the sum of the area of all its faces. Surface area is measured in square units, cm 2, m 2, etc. – Type 2: Surface area of solids with at least one curved face (e.g. cylinders, spheres, cones)

3. Cylinder

5. Sphere A sphere has one curved face. Let r be the radius of the sphere.

6. Cone A cone has two faces: one plane and one curved. Let r be the radius and l be the slant height of the cone.

7. CylinderConeSphere Summary

8. Practice Find the surface area of the following solids:

9. Practice Find the outer surface area of :

10. Practice One more, find the total surface area of :