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Mathematics 22 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 24 inches, as shown below. Use for 22/7 pi.

OpenStudy (anonymous):

no choices are given, it is fill in the blank!

OpenStudy (anonymous):

TO find the volume of a sphere the formula is 4/3*PI(22/7)*r^3

OpenStudy (anonymous):

What are you trying to find? And is there a diagram?

OpenStudy (ujjwal):

where is the segment AB? Draw the figure.

OpenStudy (anonymous):

no diagram...

OpenStudy (anonymous):

|dw:1339612133181:dw|

OpenStudy (anonymous):

Is point C on segment AB?

OpenStudy (ujjwal):

what are you supposed to find out?

OpenStudy (anonymous):

Point C is the CENTER...

OpenStudy (anonymous):

were trying to find the VOLUME

OpenStudy (anonymous):

Yes, but is point C ON segment AB? If it isn't we have to approach it completely differently.

OpenStudy (anonymous):

IT IS ON THE SEGMENT...

OpenStudy (anonymous):

Alright. Last question. And you're trying to find the volume of the water or the bowl?

OpenStudy (anonymous):

What is volume, in cubic inches, of water inside the fish bowl?

OpenStudy (anonymous):

thatts what it says.

OpenStudy (anonymous):

Alright. The formula for the volume of a sphere is: \[V = \frac43πr^{3}\] Now, the formula for the volume of half the bowl which is the water is half o fhte formula. \[V = \frac46πr^{3}\] \[V = \frac46π(12)^{3}\] Can you solve from here?

OpenStudy (anonymous):

3620 (rounded to nearest whole.)

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