Question

Find the diameter of a cone that has a volume of 29.31 cubic inches and a height of 7 inches. Use 3.14 for pi. (1 point)


4 inches

2 inches

8 inches

6 inches

Answer 1

@sammixboo help ?

Answer 2

@mathmate

Answer 3

\[v=πr^{2}\frac{ h }{ 3 }\]

Answer 4

Plug in the volume and the height.

Answer 5

This will go as fast as you do :)

Answer 6

Try to plug them into the formula.

Answer 7

i have no idea tbh

Answer 8

Put the volume of the cone where the v is and the height where the h is.

Answer 9

If you are doing exams by getting help on Open Study, you are violating the OpenStudy Anti-Cheating Policy: http://openstudy.com/terms-and-conditions

Answer 10

fyi thats what people do here sooo like idc rn

Answer 11

@jigglypuff314 As a mod, could you weigh in here? I doubt @trixitang is right, that "what people do here" is cheat on exams.

Answer 12

Oh, plenty of people do. Around this time, most of them are getting answers for semester exams. That's part of the reason why we don't give direct answers: if they're going to cheat, at least make them learn.

Answer 13

haha youre such a trixi

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Sylph
Oh, plenty of people do. Around this time, most of them are getting answers for semester exams. That's part of the reason why we don't give direct answers: if they're going to cheat, at least make them learn.
\(\color{#0cbb34}{\text{End of Quote}}\)
Hmm. Pretty smooth haha

Answer 15

https://www.youtube.com/watch?v=HBFEvDIZpiY

Answer 16

@jabez177 how do you quote?

Answer 17

She just used LaTeX to create colored text.

Answer 18

ah got it

Answer 19

I used @Jaynator495's extension actually.

Answer 20

It gives us an option. :) http://prntscr.com/bey2jr

Answer 21

That's awesome :3 I just figured the text could be created using latex

Answer 22

\(\color{blue}{\text{Originally Posted by}}\) @jabez177
It gives us an option. :)
http://prntscr.com/bey2jr
\(\color{blue}{\text{End of Quote}}\)


very cool!

Answer 23

wait im so confused, do i have to round up my answer ?

Answer 24

\[v=πr^{2}\frac{ h }{ 3 }\]
We are given this much info :
\[29.31=(3.14)r^{2}\frac{ 7 }{ 3 }\]

Answer 25

All we need to do is isolate the r^2 any ideas on how we should do that? @trixitang

Answer 26

okay so the radius is half of the diameter correct ? So the radius is 14.65 correct ? so wouldnt i just multiply that by itself ?

Answer 27

How did you get that?

Answer 28

how did I get what ?

Answer 29

14.65

Answer 30

well from dividing the diameter by 2

Answer 31

That's the volume, not the diameter.

Answer 32

oh then i confused myself horribly

Answer 33

Poo is trying to help you make sense of it. Go along with exactly what she does, and you'll start to understand. Stop doubting yourself and assuming you won't understand.

Answer 34

\(\color{#0cbb34}{\text{Originally Posted by}}\) @pooja195
\[v=πr^{2}\frac{ h }{ 3 }\]
We are given this much info :
\[29.31=(3.14)r^{2}\frac{ 7 }{ 3 }\]
\(\color{#0cbb34}{\text{End of Quote}}\)
Start by simplfying the things that can be simplified.
\[\huge~\rm~3.14 \times \frac{ 7 }{ 3 }=?\]

Answer 35

7.32 ?

Answer 36

Good let's keep the full decimal though.
Now we have
\[\huge~\rm~29.31=7.326667r^2\]
Any ideas on what to do next?

Answer 37

I do not

Answer 38

To get a positive outcome
Subtract 7.326667r^2 from both sides.
29.31−7.326667r^2=7.326667r^2−7.326667r^2
−7.326667r2+29.31=0
And then you would
Subtract 29.31 from both sides.
−7.326667r^2+29.31−29.31=0−29.31
\[\huge~\rm~−\frac{ −7.326667r^2=−29.31 }{ −7.326667 }\]From here you divide

Answer 39

Divide both sides by −7.326667

Answer 40

-29.31/−7.326667=?

Answer 41

@trixitang

Answer 42

4 ?

Answer 43

The answer to the question? (Your question)

Answer 44

so A ?

Answer 45

yes

Answer 46

thank you ! Can you help me with one more ?

Answer 47

ill try :)

Answer 48

okay ill open up a new thread