1. Surface Area of Cylinders Return to table of contents

2. How would you find the surface area of a cylinder?

3. Notice the length of the rectangle is actually the circumference of the circular base. Steps 1. Find the area of the 2 circular bases. 2.Find the area of the curved surface (actually, a rectangle). 3. Add the two areas. 4. Label answer.

4. Radius Curved Side = Circumference of Circular Base HEIGHTHEIGHT HEIGHTHEIGHT Radius

5. Area of Circles = 2  (  r 2 ) Area of Curved Surface = Circumference  Height =   dh 2  r 2 +  dh 2  r 2 + 2  rh -or- Radius Curved Side = Circumference of Circular Base HEIGHTHEIGHT HEIGHTHEIGHT Radius

6. Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches. 14 in 16 in Area of Circles = 2  (  r 2 ) 2  (  8 2 ) = 2  (64  ) = 128  = 401.92 in 2 Area of Curved Surface = Circumference  Height =   d  Height =  (16)(14) = 224  = 703.36 in 2 Surface Area = 401.92 + 703.36 = 1105.28 in 2

7. 45Find the surface area of a cylinder whose height is 8 inches and whose base has a diameter of 6 inches.

8. 46Find the surface area of a cylinder whose height is 14 inches and whose base has a diameter of 16 inches.

9. 47How much material is needed to make a cylindrical orange juice can that is 15 cm high and has a diameter of 10 cm?

10. 48Find the surface area of a cylinder with a height of 14 inches and a base radius of 8 inches.

11. 49A cylindrical feed tank on a farm needs to be painted. The tank has a diameter 7.5 feet and a height of 11 ft. One gallon of paint covers 325 square feet. Do you have enough paint? Explain. A Yes B No