Application of derivatives

[silver flare]

If water is poured into an inverted hollow cone whose semi vertical angle is 30° so that it's depth increases at the rate of 1 cm per second find the rate at which volume of water is increasing when the depth is 24 cm.

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[spice sparrow]

i would suppose that $\frac{dh}{dt} = 1cm/sec$ here

if h is height and t is time ofc

[silver flare]

💀the thing is i was absent for this lecture

So I don't even know what u mean

[wind dune]

wolfqz

[silver flare]

And tmr is a test

[spice sparrow]

oh

well you know how derivatives are used to calculate rate of change

[silver flare]

I do not know any thing about cones , I just can solve things related with only circles and triangles

[silver flare]

Yes

[spice sparrow]

ehh its a right angled triangle in the end

[silver flare]

Idk what ur talking abt I just need the solution and Google won't provide it to me and chat gpt sucks at explaining maths

[spice sparrow]

yes im drawing a figure

wait

[silver flare]

Oki

[spice sparrow]

ok

i apologise for my bad drawing

[silver flare]

Its good

[spice sparrow]

the height meets it on the centre

[silver flare]

Ok

[spice sparrow]

of the circle at the bottom

[silver flare]

Yup got that

[spice sparrow]

so r is the radius of the circle, and since height is perpendicular, this becomes a right angle triangle

[silver flare]

Oh ye

[spice sparrow]

the angle above is given to be 30 degrees

this one

[silver flare]

Ok

[spice sparrow]

since we are looking for a relation between r and h

we can do tan30 = r/h

ahh yes

coffey will explain it much better than me

@proven adder continue

[proven adder]

give up

[spice sparrow]

do it coffey im serious im bad at explaining physics

[proven adder]

try next time

[spice sparrow]

wtf

dude

[proven adder]

what

he doesn't know comes

[spice sparrow]

this aint ur local general chat 🔥

[proven adder]

hes trying to solve a problem with it

@silver flare learn about cones

[spice sparrow]

real

@proven adder was i giving a good explanation

[proven adder]

all he said was "ok"

[spice sparrow]

but

was it a good explaantion

tho

i even drew a figure 😭

i have never done this much work in my life coffey

[proven adder]

yes

[silver flare]

I do know about cones but the thing is not good enough just wish I wouldn't have played basketball all day yesterday.