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KSB
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The radius of a right circular cylinder is increasing at the rate of 2 in/min and the height is decreasing at a rate of 3 in/min.
A) At what rate is the volume changing when the radius is 8 in and the height is 12 in?
B) Is the volume increasing or decreasing?
 one year ago
 one year ago
KSB Group Title
The radius of a right circular cylinder is increasing at the rate of 2 in/min and the height is decreasing at a rate of 3 in/min. A) At what rate is the volume changing when the radius is 8 in and the height is 12 in? B) Is the volume increasing or decreasing?
 one year ago
 one year ago

This Question is Closed

slaaibak Group TitleBest ResponseYou've already chosen the best response.0
Volume = pi * radius^2 * height Derive wrt time: dV/dt = pi * 2r * dr/dt * h + pi * r^2 * dh/dt Now for the first part: dV/dt = pi * 2 * 8 * 2 * 12 + pi * 8^2 * 3 Second part: Increasing.
 one year ago

KSB Group TitleBest ResponseYou've already chosen the best response.0
Why does it come out a negative number?
 one year ago

KSB Group TitleBest ResponseYou've already chosen the best response.0
The answer is supposed to be 192 pi I don't get all the steps.
 one year ago

slaaibak Group TitleBest ResponseYou've already chosen the best response.0
The answer is 192pi. You must literally just do the calculation of what I wrote down, which gives 192pi.
 one year ago
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