7th Grade Math

566 Volume and Surface Area

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Example 1 Find the volume of each cylinder. Round to the nearest tenth.

6. 4 in.

8 in.

7. 9 ft
   16 ft

8.

5 mm

24 mm

9. 8 yd

21 yd

3.5 m

1.8 m

12. diameter = 15 mm 1313 diameter = 4.5 m
    height = 4.8 mm height = 6.5 m


13. radius = 6 ft 15. radius = 3 _^12 in.

height = 5 ^13 ft height = 7 ^12 in.

Example 2 16. BIRDS A cylindrical bird feeder has a diameter of 4 inches and a height of

18 inches. How much birdseed can the feeder hold? Round to the nearest

tenth.

17. WATER BOTTLE What is the volume of a cylindrical water bottle that

B

has a radius of 1 _^1

4

inches and a height of 7 inches? Round to the nearest

tenth.

Find the volume of each cylinder. Round to the nearest tenth.

18.

40 ft

26 ft 19.

75 m 46 m

20.

32 in.

86 in.

ESTIMATION Match each cylinder with its approximate volume.

21. radius = 4.1 ft, height = 5 ft a. 91 ft^3


22. diameter = 8 ft, height = 2.2 ft b. 48 ft^3


23. diameter = 6.2 ft, height = 3 ft c. 111 ft^3


24. radius = 2 ft, height = 3.8 ft d. 264 ft^3


25. POTTERY A vase in the shape of a cylinder has a diameter of 11 centimeters
    and a height of 250 millimeters. Find the volume of the vase to the
    nearest cubic centimeter. Use 3.14 for π. (Hint: 1 cm = 10 mm)

Real-World Link

Bird feeders can

attract many

species of birds.

There are over

800 species

of birds in North

America.

(^) RRR
13.3 cm 2 cm
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