What is the volume of a sphere with a diameter of 8 meters? Use 3.14 for pi. Round your answer to the nearest hundredth.

33.59 m3
113.10 m3
267.95 m3
2144.66 m3

Question

What is the volume of a sphere with a diameter of 8 meters? Use 3.14 for pi. Round your answer to the nearest hundredth.

 33.59 m3
 113.10 m3
 267.95 m3
 2144.66 m3

3mar · Answer

May I help?

mirandaabieber · Answer

yes please

3mar · Answer

Thank you.

3mar · Answer

Do you know the sphere volume?

mirandaabieber · Answer

no. I'm really bad with measurements and volumes...

3mar · Answer

You will be excellent In Sha' Allah

Take that and tell me that you got it.

mirandaabieber · Answer

I'm so confused

3mar · Answer

Where are you stuck?

mirandaabieber · Answer

everywhere if I'm being honest.

3mar · Answer

Ok
Step by step

3mar · Answer

The volume of the sphere is calculated using the formula
$$\frac{ 4 }{ 3 }\pi*r^3$$ where r is the radius of the sphere!

Got that?

mirandaabieber · Answer

ok.

3mar · Answer

Nice!
so now we need to substitute with r=8 in that equation and get the volume directly!

mirandaabieber · Answer

okay i kinda understand

3mar · Answer

very good!
Can I see your substitution!?

mirandaabieber · Answer

so it becomes ? $$\frac{ 3 }{ 4} \pi \times 8 $$

3mar · Answer

8 raised to the power 3

mirandaabieber · Answer

oh okay.

3mar · Answer

and it is$$\frac{ 4 }{ 3 }$$
not 
$$\frac{ 3 }{ 4 }$$

mirandaabieber · Answer

ohh so it would be $$\frac{ 4 }{ 3 }\pi \times 8^{3} ?$$

3mar · Answer

Congratulations!
you deserve a medal!

3mar · Answer

So what is the final result?

mirandaabieber · Answer

okay so i guess thats where i'm getting stuck i'm not sure how to solve it.

3mar · Answer

just multiply them together!

mirandaabieber · Answer

ok give me 1 second.

3mar · Answer

take it and 10 more

mirandaabieber · Answer

i got 2,144.6144..... i feel that it's wrong :\

3mar · Answer

WHy that feeling?
Did you use pi as 22/7?

mirandaabieber · Answer

no. I dont think i did

3mar · Answer

yes, this result for pi=22/7
and the correct one is 2143.57 m^3 if you use pi=3.14 as he asked.


Notice: don't forget the units!!

mirandaabieber · Answer

oh okay. Thank you so much!!!! :D

3mar · Answer

You are welcome!
Did you get what you are looking for?

mirandaabieber · Answer

yes i did. thank you for the help i understand this much better now :)

3mar · Answer

Thanks for Allah.
I am happy to hear that
Thank you for learning!!

3mar · Answer

Any more questions?

mirandaabieber · Answer

nope thats it. :)