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.
@Igreen
@iGreen
Volume of polyurethane = volume of the ball - volume of the inner core
@josephinevessey
I do not understand how you are suppose to solve it
these are both spheres whose volume is (4/3) pi r^3 where r = radius
for 9 we have to divide by 2 right since it is diameter
and change it into radius
use pi = 3.14 as in the question and the radius of each sphere = ha;lf the diameter
i dont know how to solve it srry
9 divided by 2
yes the radius of the whole ball = 4.5 and radius of inner core = 1/2 * 6 = 3
what do we do now?
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
use your calculator
first one I got 381.51
yes thats right - that is the volume of the whole ball
second one I got 113.04
what now?
well look at the formula - you subtract them
is the answer 268.47
= (4/3)*3.14*4.5^3 - (4/3)*3.14*3^3
yes
I have another question
plz post it seperately
Join our real-time social learning platform and learn together with your friends!