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secondary 4 | A Maths
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secondary 4 chevron_right A Maths

i managed 9i and ii but i'm stuck with 9iii. help please!! thanks!!!

Date Posted: 5 years ago
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Christmas MT
Christmas Mt's answer
2147 answers (A Helpful Person)
We can't find dh(oil)/dt directly. However, dh(oil)/dt is just dh(liquid)/dt - dh(water)/dt. Water also happens to form a conical shape, which means every single formula you derived in part (a) will also hold for (c).

When h(liquid) = 10, V(liquid) = 1000 pi, this means V(water) = 1000 pi / 3, and from there h(water) can be found, which allows us to find dV/dh(water).

dV(liquid)/dt = 6, so dV(water)/dt = 2.

tl;dr: Part (c) is just "redo part (a), but using h(water) instead of using h(liquid).
5 years ago
hm i see thank you!