Mathematics
Grade9
Easy

Question

Calculate the volume of this composite figure. Use the pi button on your calculator and round the answer to the nearest tenth.

  1. 1205.5 ft3
  2. 4923.5 ft3
  3. 4825.5 ft3
  4. 1206.4 ft3

hintHint:

We are given a composite figure. The given figure is made up of cone and cylinder. We will find their volume sperately and add them together to find the total volume.

The correct answer is: 1206.4 ft3


    We will find the volume of cone and cylinder seperately and add them together.
    Volume of cone is
    V o l u m e equals 1 third pi r squared h
    equals 1 third cross times pi cross times 8 squared cross times 6
    equals 128 pi
    equals 402.12 space cm cubed
    Volume of cylinder is
    V o l u m e equals pi r squared space straight h
    equals pi cross times 8 squared cross times 4
    equals 256 pi
    = 804.25 cm3
    Now, total volume will be the sum of the above volumes.
    Total volume = 402.12 + 804.25
    = 1206.4 cm3.
    The volume of given figure is 1206.4 cm3.

    For such questions, we should know the formula of volume of different shapes.

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