Basic Mathematics for College Students

(Nandana) #1

Find the volume of each sphere. Give the exact answer and an
approximation to the nearest tenth.See Example 7.
















TRY IT YOURSELF


Find the volume of each figure. If an exact answer contains p,
approximate to the nearest hundredth.



  1. A hemisphere with a radius of 9 inches
    (Hint:a hemisphereis an exact half of a sphere.)

  2. A hemisphere with a diameter of 22 feet
    (Hint:a hemisphereis an exact half of a sphere.)

  3. A cylinder with a height of 12 meters and a circular
    base with a radius of 6 meters

  4. A cylinder with a height of 4 meters and a circular
    base with a diameter of 18 meters

  5. A rectangular solid with dimensions of 3 cm by 4 cm
    by 5 cm

  6. A rectangular solid with dimensions of 5 m by 8 m by
    10 m

  7. A cone with a height of 12 centimeters and a circular
    base with a diameter of 10 centimeters

  8. A cone with a height of 3 inches and a circular base
    with a radius of 4 inches

  9. A pyramid with a square base 10 meters on each side
    and a height of 12 meters

  10. A pyramid with a square base 6 inches on each side
    and a height of 4 inches

  11. A prism whose base is a right triangle with legs
    3 meters and 4 meters long and whose height is
    8 meters

  12. A prism whose base is a right triangle with legs 5 feet
    and 12 feet long and whose height is 25 feet


4 cm 10 in.

6 in. 9 ft

Find the volume of each figure. Give the exact answer and, when
needed, an approximation to the nearest hundredth.









71.

72.

APPLICATIONS


Solve each problem. If an exact answer contains p, approximate
the answer to the nearest hundredth.


  1. SWEETENERS A sugar cube is inch on each edge.
    How much volume does it occupy?

  2. VENTILATION A classroom is 40 feet long, 30 feet
    wide, and 9 feet high. Find the number of cubic feet of
    air in the room.

  3. WATER HEATERS Complete the advertisement for
    the high-efficiency water heater shown below.


Over 200 gallons of hot water
from? cubic feet of space...

27"

17"

8"

1
2

6 in.
3 in.
4 in.

5 in.

8 in.

6 cm

16 cm

8 in.

20 in.

10 in.

8 cm

8 cm

8 cm

3 cm

9.9 Volume 809
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