Wednesday
July 23, 2014

Homework Help: Calculus

Posted by Katie on Sunday, February 6, 2011 at 7:14pm.

If water is poured into a cup at a rate of 1 cubic centimeter per second, how fast is the dept of the water increasing when the water is 4 cm deep?

r = 6 cm
h = 9 cm


V = 1/3(pie) r^2 x h
V = (pie)r'h + 1/3 (pie)r^2 h'

6 / 9 = r / h

6h = 9r
r = 3 / 4.5 h

V = 1/3(pie) (3/4.5h)^2

My answer came out to 9 / 64(pie) cm/sec.

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