2. Surface Area and Volume of Cylinders Geometry Brent Mecham Rebecca Jung Gary Jonas Bryona Golding

3. Objectives 1. Identify the parts of a. cylinder 2. Find the lateral area, total. surface area and volume. of a cylinder.

4. Cylinder Parts Bases - formed by 2 congruent circles on the top and bottom of the Cylinder.

5. Cylinder Parts Axis - The segment connecting the centers of the two bases.

6. HEIGHT = h Circumference =  r Radius = r Let T = Total Surface Area

7. T = Lateral Area + Area of the Bases h T =  r h + r2r2  r 2  r 2 r LATERAL Lateral Area Base 1 Base 2  r r2r2 r2r2  rh

8. Surface Area = 104  or 326.56 T = 2  rh + 2  r 2 T = 2  (4)9 + 2  (16) Find the surface area of the cylinder. 4 9

9. Volume = The amount of space in a figure V = Base x height  16(9) V = (  r 2 )h 9 4 144  or 452.4 units 3

10. Volume V = Bh V = (  r 2 )h V = (4.5 2  )15 V = 303.75  V = 954.3 units 3 9 15