Question

For a classroom party, there are 12 bottles of fruit punch.



Each bottle is filled with 850 cubic centimeters of punch.



The fruit punch will be served in cone-shaped paper cups that are 7 centimeters across and 12 centimeters tall.



How many completely full cone-shaped cups of the punch can be poured?

Answer 1

Answer:

Total volume of punch = 12 * 850 = 10200 cm^3 (1)

Volume of one cup = (1/3) * pi * (7/2) * 12 cm^3 (2)

Cups required = (1) / (2) =

10200 / [ (1/3) * pi * (7/2) * 12 ] = about 66 cups [ actually you need 67 ]