SOLUTION: A ball has circumference of 15.7 cms how many can fit into box measured 18*12*6 cms

Algebra ->  Length-and-distance -> SOLUTION: A ball has circumference of 15.7 cms how many can fit into box measured 18*12*6 cms      Log On


   



Question 777279: A ball has circumference of 15.7 cms how many can fit into box measured 18*12*6
cms

Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Circumference is given by 2%2Api%2Ar where r is the radius of the ball.
Circumference = 15.7 cm
So the radius = 15.7%2F%282%2Api%29 = 2.5 cm. (Assume pi = 3.14)
Volume is given by %284%2F3%29%2Api%2Ar%5E3 where r is the radius.
So the volume of a single ball = %284%2F3%29%2Api%2Ar%5E3
= ((((4/3)*pi*(2.5)^3}}} = 65.42 cc
Volume of box = length * breadth * height = 18*12*6 = 1296 cc
Therefore number of balls that can be fit into the box
= 1296%2F65.42 = 19.8 = 19 (rounded off to the lower whole number
Hope you got it :)