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[brittle atlas]

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[quaint nest]

what is the radius after x seconds?

can you write it in terms of x

[umbral flame]

Like a general form? Idk how that's why I'ma asking..

[umbral flame]

Pls anyone, I still need help on this question🙏

[quaint nest]

well what’s the radius after 5 seconds

[umbral flame]

10.05 cm

[umbral flame]

@quaint nest

[quaint nest]

how about 10, 15, and do you notice anything you’re doing to get the answer? can you get a formula in terms of x?

[umbral flame]

+0.01 per sec

10

[quaint nest]

great! so how about the volume

[umbral flame]

Idk exactly for spherical volume with relation to radius, I'm t rying to understand it by asking u

[quaint nest]

well what’s the radius in terms of x

once you have this you cube it to get the answer

[umbral flame]

Like 10 + 0.01 x X

So cube the whole thing?

@quaint nest can u pls write it out

@quaint nest like its not radius cubed it's radius+ radius squared + radius cubed in the question

Pls

[quaint nest]

okay, so recall that the sphere volume is $\frac{4}{3}\pi r^3$

[jaunty robin]

!𒐪 ɹɐupoɯ⇂ㄥ8𝟝 𒐪!

[quaint nest]

so first, whats r?

[umbral flame]

Radius

[quaint nest]

in terms of constants and x

[umbral flame]

10 + (X x0.01)

@quaint nest ?

Pls help me can you write it out, I've spent my whole afternoon and evening on this.

[quaint nest]

10+0.01x

[umbral flame]

Please explain it

[quaint nest]

okay so basically

[umbral flame]

Yes

[quaint nest]

(10+0.01x)^3, once expanded, is your answer

i personally hate this answer and completly disagree with this method but thats what the quesiton wants

its much more complicated and youre never going to do this if you want the volume at a given moment

[umbral flame]

So its the 3 choose 0 typa expansion right

With the terms and coefficients?

[quaint nest]

uhh i gues syou could do it that way

[umbral flame]

I got 1000 + 30x + 0.03x^2 + 0.0001x^3 l. How do i get rid of the 1000 to submit the answer?

Cause its only has x, x^2 and x^3 as answer boxes

@quaint nest ???

[quaint nest]

oh its increaese in volume

[umbral flame]

So just the stuff behind 1000?

Also what abt part 2

[quaint nest]

so the increase is (0.01x+10)^3-10^3

[umbral flame]

Ya so every -1000 right?

What abt part B

[quaint nest]

substitute x=10

[umbral flame]

What does it mean by pi = 3

[quaint nest]

assume pi =3

for simplfication purposes

[umbral flame]

So 4/3(3) =4 so 4 ((10+0.01x)^3-1000) right?

Here x =10

Its saying its wrong

@quaint nest pls just explain to me how to solve this, pls no more questions, ive been doing this for hrs and hrs

[quaint nest]

your expansion of part a is incorrect

so (a+b)³ should be a³+3a²b+3ab²+b³

note that (0.01x)³ is 0.000001x³

[umbral flame]

Ya so a is 10 and b is 0.01x right?

I did expand it the way u said

Ok i got part a correct

But for b im still lost

[quaint nest]

you just gotta substitute x=10 into part a

because a is a formula for volume increase

so you wanna use it!

[umbral flame]

???? @quaint nest

[quaint nest]

yup

[umbral flame]

I got 30.31 and it says its wrong

[quaint nest]

remember the part at the beginning of part a

with the pi and stuff

[umbral flame]

Ya

So x 4?

[quaint nest]

yes

[umbral flame]

No it still is wrong

What is your answer #

[quaint nest]

whole number

hmph

did you get a whole number?

[umbral flame]

No i got 121.204

So i round to 121

But it says wrong

@quaint nest

[quaint nest]

10+0.1 = 10.1
10.1^3 = 1030.301
minus 10^3 which is 1000
30.301 is the radius expansion
which is 30.301 x 4 = 121.204
huh what

[umbral flame]

Ya

So i entered 121

[quaint nest]

i actually dont get this smh sorry

try using the exact value of pi and assume they messed that up or try 120

[umbral flame]

Omg its 120 wtf

I wanna kms fuck math

Gn

[quaint nest]

i dont think 120 is correct

it did not tell you round to the nearest ten\

[umbral flame]

It is i just check

[quaint nest]

i just thought they would incorrectly assume that

ah

[umbral flame]

Its a stupid answer

[quaint nest]

nah they probably screwed up the question

[umbral flame]

Right