Answered

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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


Sagot :

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

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