At a Ramzan Mela, a stall keeper in one of the food stalls has large cylindrical vessel of base radius 15cm filled up to a height of 32cm with orange juice. The juice is filled in small cylindrical glasses of radius 3cm upto a height of 8cm, and sold for Rs. 3 each. How much money does the stall keeper receive by selling the juice completely?

Explanation

Volume of the juice vessel, `V=pir^h`

`V=pixx15^2xx32` (`r=15cm` and `h=32cm`)

Volume of juice in each glass, `v=pixx3^2xx8`

`therefore` Number of glasses of juice that are sold = `V/v`

Number of glasses of juice that are sold = `(pixx225xx32)/(pixx9xx8)`

Number of glasses of juice that are sold = 100

Total amount = `3xx100` = `Rs. 300`

Hence, Required total amount received by the stall keeper is Rs.300.