Question

A hemispherical bowl of internal radius 9 cm is full of liquid . The liquid is to be filled into cylindrical shaped bottles each fo radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl?

Answer 1

Given , radius hemispherical bowl, r = 9 cm
and radius of cylindrical bottles , R = 1.5 cm and height , h = 14 `therefore "Number of required cylindrical bottles" = ("Volume of hemispherical bowl")/(" volume of one cylindrical bottle")`
`= ((2)/(3) pir^(3))/(pi R^(2) H)= ((2)/(3)xx pi xx 9xx9xx9)/(pi xx 1.5 xx 1.5 xx4)=54`