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PLEASE explain how to calculate 4/3pi (6.3 * 10^3)^3

 Jul 3, 2016

Best Answer 

 #4
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I'm sorry but the actual answer is 3.33pi * 10^11 so do you know how to get it?

 Jul 3, 2016
 #1
avatar+129842 
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4/3pi (6.3 * 10^3)^3  =

 

(4/3) pi * 6.3^3  * 10^9    ≈   1.04739 × 10^12 

 

 

 

cool cool cool

 Jul 3, 2016
 #2
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+5

CPhill, could you please give answer in detail, I cannot understand your answer..

 Jul 3, 2016
 #3
avatar+129842 
+5

OK

 

(4/3) pi  =  about 4.18879

 

Note that in the second part  we are "distributing" the exponent on the outside of the parentheses over both terms in the parentheses.....so

 

6.3^3  = about 250.047   and

 

(10^3 )^3  = 10^9    so....putting all this together, we have

 

4.18879 * 250.047 * 10^9  = about 1.047394373130  =  about  1.04739 x 10^12

 

 

cool cool cool

 Jul 3, 2016
 #4
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+5
Best Answer

I'm sorry but the actual answer is 3.33pi * 10^11 so do you know how to get it?

Guest Jul 3, 2016
 #5
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The answer that CPhill calculated, which was: 1.04739 × 10^12  is EXACTLY the same as your answer!!!. Your answer for this: 4/3pi (6.3 * 10^3)^3  =comes from: evalute the product INSIDE the bracket, which comes to:6.3 x 1000 =6,300. Your raise this to the 3rd power: 6,300^3 =250,047,000,000=2.50047 x 10^11. Multiply this last number by 4/3 =333,396,000,000=3.33396 x 10^11. Finally you multiply this last number by Pi. So you get: 3.33396Pi x 10^11. BUT, this is exactly the same as CPhill's answer!!!!!!!!!!!. The reason you don't seem to understand is the fact that you use the word "Pi" in your answer, while CPhill uses the VALUE of Pi, which =3.1415926535........etc. Do you see the where the "problem" is?????

 Jul 3, 2016
 #6
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0

r=6300. Volume=4/3πr³

So you want to know the volume of a sphere with r=6300. First, calculate r³ using the calculator and then times by π and then 1.33333333333...

 Jul 3, 2016

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