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Unit 6 Review

Find the circumference of each circle given the radius or diameter.

1. $d=10 \ in$

2. $r=4 \ in$

Find the diameter given each circumference.

3. $53.38 \ inches$

4. $43.96 \ feet$

Find the circumference and area of each circle given the radius or the diameter.

5. r = 2 in

6. d = 4 ft

Given the circumference, find the diameter.

7. Circumference = 20.41 in

8. Circumference = 21.98 m

Given the circumference, find the radius.

9. Circumference = 15.7 m

10. Circumference = 14.13 in

Given the area, find the radius.

11. A = 12.56 sq. in.

12. A = 78.5 sq. m

Given the area, find the diameter.

13. A = 7.07 sq.ft.

14. A = 28.26 sq. m

15. Workers at the zoo are building five circular pens for the elephants. Each pen has a diameter of 226 meters. How much fence will the workers need in order to surround all five pens?

16. Find the area of the blue sector of $\bigodot A$ . Leave your answers in terms of $\pi$ . Round any decimal answers to the nearest hundredth.

Find the surface area of each cylinder given its height and radius.

17. $r = 1 \ m, \ h = 3 \ m$

18. $r = 2 \ cm, \ h = 4 \ cm$

Find the surface area of each cylinder given its height and diameter.

19. $d = 8 \ cm, \ h = 10 \ cm$

20. $d = 12 \ m, \ h = 15 \ m$

Figure out the radius of each cylinder given the height and the surface area.

21. $h = 5 \ in, \ SA = 87.92 \ sq. in.$

22. $h = 5 \ in, \ SA = 150.72 \ sq. in$

Given the radius and height of each cylinder, find its volume.

23. $r = 5 \ in, \ h = 8 \ in$

24. $r = 4 \ in, \ h = 7 \ in$

Given the volume and the radius, find the height of each cylinder.

25. $r = 12 \ m, \ V = 6330.24 \ m^3$

26. $r = 9 \ m, \ V = 4069.49 \ m^3$

27. The cylindrical pool in Wayne’s backyard holds 15,700 cubic feet of water. If the diameter of the pool is 50 feet, how deep is the pool?

28. What is the volume of Keisha’s thermos if it has a radius of 2.5 inches at the opening and 10 inches for a height?