I need help with this geometry question. I will fan and medal.

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I need help with this geometry question. I will fan and medal.

Mathematics
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The main tank has a radius of 70 feet. What is the volume of the quarter-sphere sized 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.
I know that I have to use the formula for volume of a sphere, and then once I get the volume I multiply it by 4, right? So I have written down: \[V=\frac{ 4 }{ 3 } \Pi r^3\] Then I plug in 70 for r: \[V=\frac{ 4 }{ 3 } \Pi(70)^3\] Is this correct so far?
@welshfella could you see if you could help? :)

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why multiple by 4? the quarter sphere is 1/4 of the sphere. Not 4x Volume of the sphere.
Or divide by 4? I dont know
\(\div 4\)
But am I right so far with what I have? After I got \[V=\frac{ 3 }{ 4} \Pi (70)^3\] I don't know how to solve this.
ha!! |dw:1437249945106:dw|
But couldn't figure out the volume first and then divide by 4?
Either way, you can find volume first and then take \(V\div 4\) Or, take it directly as what I showed. Both them give you the same answer
Yeah but I need help with solving for the volume
why? just replace r = 70 and you got it
I know that part. I don't know where to start though.
\(V =\dfrac{4}{3}\pi r^3= \dfrac{4}{3}* 3.1415* (70)^3\)
So then I do 70^3 first right?
put it into calculator, then divide the answer by 4
I cant just use a calculator, I have to show all calculations
yeah do 70^3 first
ok!!
Then I multiply pi and 343000?
Technically, you can do the multiplication in any order that you want (70^3 can be re written into 70*70*70) I personally find it easier to do that first
okay so now i have \[V=\frac{ 3 }{ 4} \Pi(343000)\]
I mean 4/3
yep thats right
Then what?
You can multiply it by either pi or 4/3
So if I multiply it by pi I get \[V=\frac{ 4 }{ 3 }(343000\pi)\]
yes. Then you would multiply that by 4/3 to get the total volume of the sphere
In decimal form thats 1436755.04024173
Then I divide that by 4 to get the volume of a quarter sphere correct?
yep
And it has to be rounded to the nearest whole number
so you would take the tenths place and see if it is above or below 5
Yes it is above
5 and above, give it a shove, 4 and below leave it down low
Thats how I remember weather to round up or down
so it would be 359189?
yep
Thank you so much!!
No problem :) give credit to @Loser66 too. They helped out in the beginning
Yes they did, thank you as well @Loser66 !!
I am ok, I have a bunch of medals, don't care !!

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