Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the surface area of the sphere with the given diameter or radius. Leave your answer in terms of π.

6. d = 30  m d equals 30 m
7. r = 10  in. r equals 10 , in.
8. d = 32  mm d equals 32 , mm
9. r = 100  yd r equals 100 , yd

Sports Find the surface area of each ball. Leave each answer in terms of π.

10. 

    d = 68  mm d equals 68 , mm

11. 

    d = 21  cm d equals 21 . cm

12. 

    d = 2 1 16  in  . d equals . 2 , and 1 sixteenth . in , .

See Problem 2.

Use the given circumference to find the surface area of each spherical object. Round your answer to the nearest whole number.

13. a grapefruit with C = 14  cm c equals 14 , cm
14. a bowling ball with C = 27  in. c equals 27 , in.
15. a pincushion with C = 8  cm c equals 8 cm
16. a head of lettuce with C = 22  in. c equals 22 , in.

See Problem 3.

Find the volume of each sphere. Give each answer in terms of π and rounded to the nearest cubic unit.

See Problem 4.

A sphere has the volume given. Find its surface area to the nearest whole number.

23. V = 900  in . 3 v equals . 900 , in , . cubed
24. V = 3000  m 3 v equals . 3000 , m cubed
25. V = 140  cm 3 v equals 140 . cm cubed

B Apply

26. Mental Math Use π ≈ 3 pi , almost equal to 3  to estimate the surface area and volume of a sphere with radius 3 cm.
27. Open-Ended Give the dimensions of a cylinder and a sphere that have the same volume.

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