Calculus Assignment Question help please?

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Calculus Assignment Question help please?

3. The stock of a tomato plant is approximately cylindrical in shape and has a diameter of 1 cm when the height is 17 cm. If the diameter is increasing at .5cm/wk and the height is increasing at a rate of 3 cm/wk, find the rate of increase of the volume of the stock.

2007-05-06 07:19:28 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

V=pi*r^2*h
dV= 2pi r*h dr+pi*r^2dh =pi( 2rhdr+r^2dh)x so
dV/dt= pi(2rh dr/dt+r^2dh/dt)=15.92cm^3/wk

2007-05-06 07:41:11 · answer #1 · answered by santmann2002 7 · 0⤊ 0⤋

Calculate the cross sectional area of the stock and multiply it by the rate of height increase to get the answer.

2007-05-06 14:24:37 · answer #2 · answered by Scott H 3 · 0⤊ 0⤋