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9.4 Volume of Prisms and Cylinders

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Careers<br />

AQUARIUM DIVER In<br />

addition to feeding <strong>and</strong> taking<br />

care <strong>of</strong> the fish <strong>and</strong> the plants<br />

in an aquarium, divers make<br />

sure that the tank does not<br />

get too crowded.<br />

<strong>Volume</strong> <strong>of</strong> a Cylinder Find the volume <strong>of</strong> the cylinder. Round your<br />

answer to the nearest whole number.<br />

27.<br />

4 in.<br />

28.<br />

6 m<br />

29.<br />

Swimming Pools In Exercises 30–32, find the volume <strong>of</strong> the pool.<br />

Round your answer to the nearest whole number. Then compare the<br />

volumes <strong>of</strong> the pools to answer Exercise 33.<br />

30.<br />

20 ft<br />

31.<br />

24 ft<br />

32.<br />

4 ft<br />

4 ft<br />

3 ft<br />

33. Which pool above requires the least amount <strong>of</strong> water to fill it?<br />

Visualize It!<br />

In Exercises 34 <strong>and</strong> 35, use the information below.<br />

Suppose that a 3-inch by 5-inch index card is rotated around a<br />

horizontal line <strong>and</strong> a vertical line to produce two different solids.<br />

3 in.<br />

9 in.<br />

5 in.<br />

34. Find the volume <strong>of</strong> each solid.<br />

35. Which solid has a greater volume? Explain your reasoning.<br />

Aquariums In Exercises 36 <strong>and</strong> 37, use the information below.<br />

The Giant Ocean Tank at the<br />

New Engl<strong>and</strong> Aquarium is a<br />

cylinder that is 23 feet deep <strong>and</strong><br />

40 feet in diameter as shown.<br />

23 ft<br />

36. Find the volume <strong>of</strong> the tank.<br />

37. How many gallons <strong>of</strong> water<br />

are needed to fill the tank?<br />

(1 ft 3 ≈ 7.5 gal)<br />

15 ft<br />

38. Personal Aquariums To avoid overcrowding in a personal<br />

aquarium, you should buy one fish for every gallon <strong>of</strong><br />

water (231 in. 3 ≈ 1 gal). About how many fish should be in<br />

an aquarium that is a rectangular prism measuring 20 inches<br />

wide, 10 inches long, <strong>and</strong> is filled with water to a height <strong>of</strong><br />

11 inches?<br />

3 in.<br />

5 in.<br />

40 ft<br />

12 m<br />

<strong>9.4</strong> <strong>Volume</strong> <strong>of</strong> <strong>Prisms</strong> <strong>and</strong> <strong>Cylinders</strong> 505

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