Question

A cylindrical container of three rubber balls has a height of 18 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number

Answer 1

so
vcontainer-numberofballs times volumeof1ball=space

so
vcontainter=vcylinder=hpir^2
vsphere=vball=(4/3)pir^2
d/2=r


6/2=3
container=18pi3^2
containter=18pi9
container=162pi

ball
v=(4/3)pi3^3
v=(4/3)pi27
v=36pi
3 of them
3 times 36pi=102pi

so container-balls=162pi-102pi=60pi≈188 cubic cm

Answer 2

The answer is 396 rounded