Question

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Remember your conical paper cup? (It was 15 cm high with a radius of 5 cm.) Suppose now that the water level is rising at 4 cm/s. How quickly is the water being poured into the cup when the water is 8 cm deep?

Answer 1

do you know the formula for volume of a cone?

Answer 2

no idea

Answer 3

\[V=\frac{ 1 }{ 3 }\pi r^2 h\]

Answer 4

differentiate w.r.t 't'

Answer 5

so \[v=\frac{ 1 }{ 3 }\pi(5)^2(15)\] ?

Answer 6

do you know differentiation?

Answer 7

no

Answer 8

i'm sorry, you need to know calculus to solve this problem

Answer 9

wait i found my old notes but im not sure if i did this correctly.
is the differentiation \[50\frac{ cm^3 }{ seconds }\]