1. SA Cylinders Spheres and Cones Math 10-3 Ch.3 Measurement

2. Surface Area of a Cylinder – Review Given the following cylinder, determine the surface area: Height = 12 cm Radius = 6 cm Formula =

3. SA of a Cylinder - Review First, calculate the area of the “label”: = 2 x 3.14 x 6 cm x 12 cm = 452.16 cm 2 Next, calculate the area of the circles: = 2 x 3.14 x 6 cm x 6 cm = 226.08 cm 2 Last, add together to get the total: SA = 452.16 cm 2 + 226.08 cm 2 = 678.24 cm 2

4. Surface Area of a Sphere – Review Given the following sphere, determine the surface area: Radius = 3.5 mm Formula = SA = 4 x 3.14 x 3.5 mm x 3.5 mm = 153.86 mm 2

5. Surface Area of a Cone Consider a cone: s = slant height r = radius h = height Consider the net of a cone: What shapes do you see?  small circle and ~1/3 of a large circle

6. SA of a Cone What is the formula for the area of a circle?  A = r 2 The formula for the other shape is  A = r s Add these together to get the SA formula! SA cone = r 2 + rs

7. Ex2. Calculate the surface are of the following cone: s = 8 cm r = 4 cm formula = SA = r 2 + rs

8. SA of a Cone First, determine the area of the circle: = 3.14 x 4 cm x 4 cm = 50.24 cm 2 Next, determine the area of the slanted part: = 3.14 x 4 cm x 8 cm = 100.48 cm 2 Last, add together to get the total Surface Area = 50.24 cm 2 + 100.48 cm 2 = 150.72 cm 2