2. The surface area of a cylinder is the entire area of the outside of the object. To calculate surface area, find the area the curved surface and the two circles and add them together. There are 3 faces to this cylinder. Top and bottom are the same (circles) One side ( curved surface )

3. To find the surface area, calculate the area of the curved surface and circles, add them together. Circles A = A = (3.14)(5) 2 A = 78.5 cm 2 Curved Surface A = A = (3.14)(10)(20) A = 628 cm 2 The length of the curved surface is the circumference of the circles. Total Surface Area = 2(circles) + curved surface = 2(78.5) + 628 = 785 cm 2

4. To find the surface area, calculate the area of the curved surface and circles, add them together.

5. Circles A = A = (3.14)(4) 2 A = 50.24 mm 2 Curved Surface A = A = (3.14)(8)(8) A = 200.96 mm 2 The length of the curved surface is the circumference of the circles. Total Surface Area = 2(circles) + curved surface = 2(50.24) + 200.96 = 301.44 mm 2

6. The surface area of a cone is the entire area of the outside of the object. To calculate surface area, find the area the curved surface and the circle and add them together. There are 2 faces to this cone. Circle Curved surface Find slant through Pythagorean theorem

7. To find the surface area, calculate the area of the curved surface and circles, add them together. Circles A = A = (3.14)(5) 2 A = 78.5 m 2 Curved Surface A = A = (3.14)(5)(10.3) A = 161.71 m 2 Total Surface Area = Circle + curved surface = 78.5 + 161.71 = 240.21 m 2 Find the slant using Pythagorean Theorem c 2 = a 2 + b 2 c 2 = (5) 2 + (9) 2 c 2 = 106 c = 10.3

8. To find the surface area, calculate the area of the curved surface and circles, add them together. Find the slant using Pythagorean Theorem c 2 = a 2 + b 2 HINT!!!

9. To find the surface area, calculate the area of the curved surface and circles, add them together. Circles A = A = (3.14)(6) 2 A = 113.04 cm 2 Curved Surface A = A = (3.14)(6)(11.24) A = 211.76 cm 2 Total Surface Area = Circle + curved surface = 113.04 + 211.76 = 324.8 cm 2 Find the slant using Pythagorean Theorem c 2 = a 2 + b 2 c 2 = (6) 2 + (9.5) 2 c 2 = 126.25 c = 11.24

10. Class Work Check solutions to Lesson 22 Copy notes and examples to lesson 23 Complete Lesson 23 worksheet