1. Volume of a Cylinder Radius of circle = 2 Height of can is 7

2. V= (area of base)h The area of this base is a circle. What is the formula for the area of a circle? Radius of circle = 2 Height of can is 7

3. find the area of the circle because it is the base of the can Area = π r 2 where r = 2 inches Area = π 2 2 Area = 4 π This is the area of the base of the can

4. V= (area of base)h We found the base area in the last slide V= (4π)h Replace h with 7 Radius of circle = 2 Height of can is 7

5. V= (area of base)h V= (4π)7 V = 28 π Radius of circle = 2 Height of can is 7

6. V= (area of base)h V= (4π)7 V = 28 π Replace π with 22 7 Radius of circle = 2 Height of can is 7

7. V= (area of base)h V= πr 2 h V= (4π)7 V = 28 π V = 28 22 1 7 4 V = 28 22 1 7 1 V= 4 22 V= 88 in 3 Radius of circle = 2 Height of can is 7

8. V= (area of base)h V= πr 2 h V= (1π)14 V = 14 π V = 14 22 1 7 2 V = 14 22 1 7 1 V= 2 22 V= 44 in 3 The volume changed from 88 to 44 Change radius to 1 Change height to 14

9. V= (area of base)h The volume changed from 88 to 44 New Volume 44 in 3 Old Volume 88 in 3 the new volume is half the old volume Radius was cut in half Height was doubled

10. Area of the label Radius of circle = 2 Height of can = 7 Find circumference of can C = (π)(diameter)

11. Area of the label (a rectangle) C = (π)(diameter) h Radius of circle = 2 Height of can = 7 d = 2r Area= baseheight (π)(d)h 2(π)(r)h 2(π)(2)7 28(π) The base is the circumference

12. Area of the label C = (π)(diameter) h The base is the circumference A = 28 π A = 28 22 1 7 4 A = 28 22 1 7 1 A= 4 22 A= 88 in 2 A = base times height So A = circumference times height