A ball has a diameter of 9 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 pi and express your answer in hundredths.
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OpenStudy (samara89):
@Igreen
OpenStudy (samara89):
@iGreen
OpenStudy (welshfella):
Volume of polyurethane = volume of the ball - volume of the inner core
OpenStudy (samara89):
@josephinevessey
OpenStudy (samara89):
I do not understand how you are suppose to solve it
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OpenStudy (welshfella):
these are both spheres whose volume is (4/3) pi r^3 where r = radius
OpenStudy (samara89):
for 9 we have to divide by 2 right since it is diameter
OpenStudy (samara89):
and change it into radius
OpenStudy (welshfella):
use pi = 3.14 as in the question and the radius of each sphere = ha;lf the diameter
OpenStudy (josephinevessey):
i dont know how to solve it srry
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OpenStudy (samara89):
9 divided by 2
OpenStudy (welshfella):
yes the radius of the whole ball = 4.5 and radius of inner core = 1/2 * 6 = 3
OpenStudy (samara89):
what do we do now?
OpenStudy (welshfella):
plug those values into the formulas for the volume and work it out
volume = (4/3)*3.14*4.5^3 - (4/3)*3.14*3^3
OpenStudy (welshfella):
use your calculator
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OpenStudy (samara89):
first one I got 381.51
OpenStudy (welshfella):
yes thats right - that is the volume of the whole ball
OpenStudy (samara89):
second one I got 113.04
OpenStudy (samara89):
what now?
OpenStudy (welshfella):
well look at the formula - you subtract them
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