For shipment a women's basketball is packaged in a cubed box. The circumference of the basketball is 28.5in. What is the volume of the smallest cubed box that will hold the basketball. answer to the nearest cubic inch. Can you explain how you got the answer and show it by each step please. :)

Question

nurali · Answer

remember the equation for a circle 

a sphere is just a circle rotated around pi radians 

so the circumference of a circle is 

circ = 2*pi*r 
since d = 2*r 
where d is the diameter 
circ = d*pi 

solving for d 

d = circ /pi 

so we have the solution for diameter 

that means the box that would hold this ball would have to be 

d x d x d 
this means 
v = circ/pi* circ/pi*circ/pi 
v = circ^3/pi^3 

that would be the smallest volume 
v = 747 cubic inches 
hope that helps 
good luck

anonymous · Answer

wow thanks so much! what do the * mean?

nurali · Answer

multiply

anonymous · Answer

okay, great thanks for your time Nurali! :D