Mathematics
Grade9
Easy

Question

Calculate the volume of the composite solid.

  1. 301.6 cm3
  2. 502.7 cm3
  3. 268.1 cm3
  4. 167.6 cm3

hintHint:

The volume of the composite figure is volume of the hemisphere + the volume of the cone

The correct answer is: 301.6 cm3


    Volume of cone is
    Volume equals 1 third πr squared straight h
    equals 1 third cross times straight pi cross times 4 squared cross times 10
equals 167.5 space cm cubed
    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 = 134.04 in3
    Total volume = 167.5 + 134.04
    = 301.6

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