The main show tank has a radius of 60 feet and forms a quarter-sphere. What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
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OpenStudy (3mar):
so what you feel?
OpenStudy (nikki_skellington):
im not sure....not good at this stuff
OpenStudy (3mar):
just choose and I will guide you In Sha' Allah
OpenStudy (nikki_skellington):
ok...but im unsure on what to do like where do i start?
OpenStudy (3mar):
We have a sphere ok?
what is its volume? knowing just its radius!
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OpenStudy (nikki_skellington):
60...?
OpenStudy (3mar):
what does 60 represent?
OpenStudy (nikki_skellington):
its volume :/
OpenStudy (3mar):
how is that?
\[\frac{ 1 }{ 3 }\pi *r^3=\frac{ 1 }{ 3 }\pi *(60)^3=???\]
OpenStudy (3mar):
@Nikki_Skellington
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OpenStudy (nikki_skellington):
sorry im trying to solve it...im not getting anything tho
OpenStudy (3mar):
One minute please
OpenStudy (nikki_skellington):
ok
OpenStudy (3mar):
are you stuck at the last equation I wrote?
OpenStudy (nikki_skellington):
yea
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OpenStudy (3mar):
where?
OpenStudy (3mar):
What is not logic for you?
OpenStudy (nikki_skellington):
honestly, all of it im really not good at this type of math
OpenStudy (3mar):
Can you follow step by step?
OpenStudy (3mar):
The volume of a sphere is\[\frac{ 4 }{ 3 }\pi r^3\]
we have -in this case - 1/4 sphere, not a complete sphere
so its volume will be \[\frac{ 1 }{ 3 }\pi r^3\]
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OpenStudy (3mar):
For the given data, the radius of this sphere is 60 ft (seems too big)
just substitute with r in the last equation I wrote.
OpenStudy (nikki_skellington):
would it be 72,000?
OpenStudy (3mar):
you mean \[72000\pi\]
OpenStudy (nikki_skellington):
yup sorry
OpenStudy (3mar):
No problem.
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OpenStudy (nikki_skellington):
so its correct?
OpenStudy (3mar):
Yes
Congratulations!
OpenStudy (nikki_skellington):
yay! so thats it
OpenStudy (3mar):
Thank you for learning!!
OpenStudy (nikki_skellington):
no, thank you :)
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OpenStudy (3mar):
I appreciate!
OpenStudy (3mar):
Any more questions?
OpenStudy (nikki_skellington):
i actually do have 1 more wait one sec please.
OpenStudy (3mar):
Ok
OpenStudy (nikki_skellington):
The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
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