Mathematics
Grade9
Easy

Question

Calculate the volume of this composite figure.

  1. 512 cm3
  2. 798.08 cm3
  3. 646 cm3
  4. 584.82 cm3

hintHint:

Volume of the Composite figure = volume of cube + volume of hemisphere

The correct answer is: 646 cm3



    Volume of cube is

    Volume = 83

    = 512 centimeters3
    Volume of hemisphere is
    Volume equals fraction numerator 2 cross times 3.1416 cross times 4 cubed over denominator 3 end fraction
    equals fraction numerator 2 cross times 3.1416 cross times 64 over denominator 3 end fraction
equals fraction numerator 402.1239 over denominator 3 end fraction
    Volume = 134 cm³
    Volume of empty space = 512 + 134
    = 646

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