A hemispherical bowl of internal radius 9 cm

Asked by admin @ in Math viewed by 303 People

A hemispherical bowl of internal radius 9cm contains a liquid. The liquid is to be filled into cylindrical shaped small bottles of diameter 3cm and height 4cm. How many bottles are needed to empty the bowl?

Answered by admin @


Volume of the liquid = Volume of  hemispherical bowl = 2/3 \pi r ^{3}
                                   =2/3*22/7*9³ =1527.42cm³
Volume of one cylindrical shaped ball= \pi r ^{2} h

                                    = 22/7*1.5*1.5*4   =28.28cm³
number of bottles needed = Volume of  hemispherical bowl / Volume of one                                                                                                  cylindrical shaped ball

                                           =1527.42 / 28.28
                                            = 54.01
  Therefore , number of bottles needed  = approx 54 bottles


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