Abowling ball has a total diameter of 8.5 in. it consists of 2 parts. the inside is a spherical core with a diameter of 6 in. surrounding the core is a layer of polyurethane.
what is the volume of the polyurethane? use 3.14 to approximate [tex] \/pi [tex] and round your answer to one decimal place.
in3

So first find the volume of the spere and the volume of the core then subtract the core from the squarere

so

volume of squrere formula 4/3pi times radius^3

diameter=2radius
diameter/2=radius

8.5/2=radius=4.25

4/3 times pi times 4.25^3=321.39

inner core= 4/3 times pi times r^3
diameter/2=6/2=radius=3

4/3 times pi times 3^3=113.04

subtract

sphere-core=321.39-113.04=208.352
round to 1 decimal place

208.4 in^3

the answer is 208.4 cubic inches