Unofficialllyy
  • Unofficialllyy
I need help with this geometry question. I will fan and medal.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Unofficialllyy
  • Unofficialllyy
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.
Unofficialllyy
  • Unofficialllyy
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?
Unofficialllyy
  • Unofficialllyy
@welshfella could you see if you could help? :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.