Calculus Question...Giving Medals! A spherical balloon with radius 3 inches is partially lled with water. If the water in the balloon is 4 inches deep at the deepest point, how much water is released when the balloon hits the wall and breaks?
can anyone help?
Weird question, is there nothing else given?
that is it
A spherical balloon with radius 3 inches is partially filled with water. If the water in the balloon is 4 inches deep at the deepest point, how much water is released when the balloon hits the wall and breaks?
It is suppose to involve volumes of revolution
Can't think of anything...hmm maybe I've not reached that far into my studies O.o
there is also a second problem, A pie dish has base diameter 8 inches, top diameter 10 inches, and height 2 inches. What is the volume of the dish?
I've no Idea, I haven't studied about volumes of revolution, but hopefully someone will help you out soon
ok thank you
are you in college?
no
high school
Oh I'm in 12th grade, but that's not in my course
I am in the 11th grade.
you have to find the volume of water in the sphere. |dw:1424287453541:dw| It looks like the volume includes 1/2 of the sphere plus a cylinder of height 1 and base we can figure out. what is left is the small section you can use volume by shells http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithCylinder.aspx to find this last little bit. add up all 3 volumes for the total volume of water.
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