• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

2023 HSC chat (4 Viewers)

Average Boreduser

Rising Renewal
Joined
Jun 28, 2022
Messages
3,209
Location
Somewhere
Gender
Female
HSC
2026
After,
Water is flowing into a hemispherical container of radius 10cm at a constant rate of 6cm^3 per second. It is known that the formula for the volume of a solid segment cut off a sphere is V=pi/3 h^2 (3r-h), Where r is the radius of the sphere and h is the height of the segment.
a) Find the rate at which the height of the water is rising when the water height is 2cm.
b) Use Pythag to find the radius of the circular water surface when the height is h, and hence find the rate of increase of the surface area when the water height is 2cm.
 

howcanibesmarter

Well-Known Member
Joined
Jun 3, 2023
Messages
633
Location
The North Pole
Gender
Male
HSC
2023
After,
Water is flowing into a hemispherical container of radius 10cm at a constant rate of 6cm^3 per second. It is known that the formula for the volume of a solid segment cut off a sphere is V=pi/3 h^2 (3r-h), Where r is the radius of the sphere and h is the height of the segment.
a) Find the rate at which the height of the water is rising when the water height is 2cm.
b) Use Pythag to find the radius of the circular water surface when the height is h, and hence find the rate of increase of the surface area when the water height is 2cm.
is the answer a) 0.053cm/sec b) 2.67sqcm/sec?
 

synthesisFR

afterhscivemostlybeentrollingdonttakeitsrsly
Joined
Oct 28, 2022
Messages
3,312
Location
Getting deported
Gender
Female
HSC
2028
pentel energel 0.7 😍
my holy grail, doesn't smudge at all
nah cuz ive acually been using the trashiest pen in existence so far idek why
is this even true like if i can use a trash one i will be able to use a good pen much better or not true in this case? since u might need to adapt to a good pen lmfao
 

nsw..wollongong

dentista 😍🫶
Joined
Apr 10, 2023
Messages
3,214
Gender
Female
HSC
2023
nah cuz ive acually been using the trashiest pen in existence so far idek why
is this even true like if i can use a trash one i will be able to use a good pen much better or not true in this case? since u might need to adapt to a good pen lmfao
bro i used a rlly bad pen on my prelims and literally all my feedback on my English paper was how i HAVE to change pens 💀 honestly it doesn't matter if u use a bad pen now and a good one later, it doesn't make u write better in the actual test (different pen grip, ink??). just pick one or two and stick with them
 

scaryshark09

∞∆ who let 'em cook dis long ∆∞
Joined
Oct 20, 2022
Messages
1,618
Gender
Undisclosed
HSC
1999
or its just that my English teachers are shit at giving feedback so they focus on the most tedious details instead 😍
omg lol, most of my English feedback is literally copied and pasted from the marking criteria but they just change a few words here and there like "skillfully" to "effectively" to justify why i didnt get full
 

Average Boreduser

Rising Renewal
Joined
Jun 28, 2022
Messages
3,209
Location
Somewhere
Gender
Female
HSC
2026
cus i will do them all :) is the answer = -x+3/sqrt2 tan^-1(sqrt2 tanx/2) + C ?

also is there a faster way? i feel like im missing something...
View attachment 38802
nah its a last qn I found from a past paper lol. idek how to integrate.... in fact, my school only just started diff 💀
1688476266095.png
this is the answer
 

Users Who Are Viewing This Thread (Users: 0, Guests: 4)

Top