A bowling 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