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Mathematics 15 Online
OpenStudy (anonymous):

A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 12 inches, as shown below. Use Twenty two over seven for pi. A sphere with diameter 12 inches is drawn. What is the volume, in cubic inches, of water inside the fish bowl? 339.35 452.57 678.65 904.90

OpenStudy (anonymous):

OpenStudy (anonymous):

@cheergurl_99 @Chibi_Robo3

OpenStudy (anonymous):

i'm not sure if i'm right so the diameter will be AB=12 in the formula for the volume of sphere(fish bowl) is \(V_{fishbowl}=\frac{4}{3}\pi r^3\) since you are only looking for the volume of water, which is half of the fishbowl, divide the volume by two so the formula will be \(V_{water}=(\frac{4}{3}\pi r^3)(\frac{1}{2})=\frac{2}{3}\pi r^3\) also you are given the diameter and the formula uses the radius.. so to find the radius, divide the diameter by 2, so it will be r= 6 in substitute this into the formula \(V_{water}=\frac{2}{3}\pi r^3\) and done :)

OpenStudy (anonymous):

904.90

OpenStudy (anonymous):

@Chibi_Robo3

OpenStudy (anonymous):

can i see your solution?

OpenStudy (anonymous):

V=43πr3 12/2=6 V=43∗3.14∗(6)3=1.333∗3.14∗216=904.90

OpenStudy (anonymous):

@Chibi_Robo3

OpenStudy (anonymous):

where did you get 43? O.o and remember, you are looking for the volume of water, which is HALF of the volume of the fishbowl

OpenStudy (anonymous):

v=4 - 3 not 43 sorry it pop up wrong

OpenStudy (anonymous):

Volume of a sphere is V=\[\frac{ 4 }{ 3 }\] 3 πr

OpenStudy (anonymous):

@Chibi_Robo3

OpenStudy (anonymous):

oh ok... so i've i said before, you are looking for the volume of water.. you calculated the volume of the fishbowl

OpenStudy (anonymous):

and also the question mentioned that \(\LARGE \pi=\frac{22}{7}\)

OpenStudy (anonymous):

so i did i wrong its not 904.90

OpenStudy (anonymous):

mhmm.. try to follow the instructions i gave you above

OpenStudy (anonymous):

please help me

OpenStudy (anonymous):

hmm do the same method as you did before but this time put \(\frac{22}{7}\) for the value of \(\pi\) then i'll tell you the next thing you have to do

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