Mathematics
Grade9
Easy

Question

Find the volume of the empty space left inside the cylinder.

  1. 261.9
  2. 246.3
  3. 321.4
  4. 1245.5

hintHint:

The empty space left inside the cylinder is = volume of cylinder(pi cross times 〖 left parenthesis r a d i u s right parenthesis 〗 squared cross times h e i g h t)   - volume of the sphere 4 over 3 cross times straight pi cross times straight r cubed

The correct answer is: 261.9


    Volume of cylinder is
    Volume equals πr squared straight h
equals straight pi cross times 5 squared cross times 10
equals 250 straight pi
equals 785.4
Volume space of space sphere space is
Volume equals 4 over 3 πr cubed
equals 4 over 3 cross times straight pi cross times 5 cubed
equals 523.5
    Volume of empty space = 785.4 – 523.5
    = 261.9

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