Mathematics
Grade-8
Easy

Question

A spherical ball has a diameter of 8 inches. The ball has a slow leak which the air escapes at a rate of 2.5 cubic inches per second. The time it would take for the ball to deflate is ___________.

  1. 101.6 s
  2. 98.6 s
  3. 92.4 s
  4. 107.2 s

hintHint:

Time take to deflate = volume of ball / leak rate
Volume of ball / Sphere = 4 over 3 πr cubed

The correct answer is: 107.2 s


    radius = half of diameter = 8/2 = 4 in

    The radius of Ball/Sphere = 4 in  

    and , Volume = ? 

    Step 1 :

    Volume of Sphere Formula = 4 over 3 πr cubed

    step 2:

    Putting values 

    taking pi = 3.14  

    Volume =  4 over 3 cross times 3.14 cross times 4 cubed =  268  in3  

    Step 3 :

    divide volume by inflation rate to get time of deflate 

    = 268 /2.5s  = 107.2 s 

    So , it will take 107.2 s  to deflate the ball 

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