Question

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?

Answer 1

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= [tex] \pi r ^{2} h [/tex]
                                    = 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

Answer 2

Solution= Volume of the liquid = Volume of  hemispherical bowl =

                                   =2/3*22/7*9³ =1527.42cm³

Volume of one cylindrical shaped ball=

                                    = 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

Answer is 54.