Question

Find the length of the diameter of a sphere with a volume of 407.72 in^3
A. 9.87 in
B. 4.6 in
C. 9.2 in
D. 19.73 in

(No Picture)

Answer 1

@Nogarenshi

Answer 2

Volume of a sphere is V = 4/3(pi)r^3

Answer 3

Now plug in the numbers u have now

Answer 4

I'm confused... I only have one number... I don't know the radius

Answer 5

ok one sec im starving im just gonna get some food first hahaha

Answer 6

Food's important XD @Nogarenshi

Answer 7

@Zale101 Where did you get the miles part from? Miles isn't even in this question...

Answer 8

havent had breakfast or lunch yet was too busy at the university

Answer 9

:O EAT NOW!!!

Answer 10

oh i'm sorry

Answer 11

hold on a sec

Answer 12

It's okay... I just get confused easily haha

Answer 13

407.72 = 4/3(pi)r^3

Answer 14

solve for r first then go from there from zales equation

Answer 15

How do I solve for r?

Answer 16

first multiply both sides by 3

Answer 17

the 3 on the right side should cancel out so write the new equation

Answer 18

I still don't get it :( I don't know what the equation is

Answer 19

Do I plug three with 407?

Answer 20

alright the initial equation for volume with all the values is \[407.72=\frac{ 4 }{ 3 }\pi*r^3\]

Answer 21

when you multiply both sides by 3 it looks like this now\[1223.16=4\pi*r^3\]

Answer 22

Do I multiply 4 and pi now?

Answer 23

no what you do is divide both side by 4pi

Answer 24

so it should look like this \[\frac{ 305.79 }{ \pi}=r^3\]

Answer 25

97.38=r^3?

Answer 26

you should leave it as i have it so it is an exact value. next you take the cube root of both sides

Answer 27

so it should look like this \[\sqrt[3]{\frac{ 305.79 }{\pi }}=r\]

Answer 28

Oh crap. how do I do that? I didn't understand radicals last year..

Answer 29

technically it is powers but same thing

Answer 30

the cube root of a number is the same as that number being raised by (1/3)

Answer 31

oh okay. so then do I multiply 1/3 by 305.79/3.14?

Answer 32

no no no no hahaha

Answer 33

Haha okay.So do I divide 305.79 and 3.14 at all?

Answer 34

if you work everything out r should approx. equal 4.6

Answer 35

now r is the radius correct?

Answer 36

I don't think so, because we still need to finish the other equation right?

Answer 37

i will explain the radical and power stuff later. Actually you already finished that volume equation. we used it to get r. Actually r is the radius.

Answer 38

Oh!! Silly me :D

Answer 39

so what do you do now that you have the radius. how do you get the diameter

Answer 40

I double it, since the diameter is just two radiuses put together

Answer 41

exactly so the diameter is???

Answer 42

9.2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :D

Answer 43

Thank you thank you!

Answer 44

hahahaha you are welcome