SOLUTION: A hemispherical bowl of internal bowl of radius 9 cm is full of rose water. This rose water is to be filled in cylindrical bottles of diameter 9 cm and height 4 cm. Find the number

Algebra ->  Volume -> SOLUTION: A hemispherical bowl of internal bowl of radius 9 cm is full of rose water. This rose water is to be filled in cylindrical bottles of diameter 9 cm and height 4 cm. Find the number      Log On


   

Question 860345: A hemispherical bowl of internal bowl of radius 9 cm is full of rose water. This rose water is to be filled in cylindrical bottles of diameter 9 cm and height 4 cm. Find the number of bottles needed to empty the rose water of the bowl (pie = 22/7).

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%284%2F3%29pi%289%5E3%29=N%2A4%28pi%29%289%2F2%29%5E2, using N as the number of cylinders to contain the volume of rose water in the hemispheric bowl.

Begin to simplify;
%281%2F2%29%281%2F3%29%2A9%5E3=N%289%2F2%29%5E2
Continue simplifying;
%281%2F2%29%281%2F3%299=N%281%2F4%29
Easy enough to just reach the final answer:
N=4%281%2F2%29%289%2F3%29
N=2%2A3
highlight%28N=6%29