Solution: We draw the picture. Exercises The included area of the two sides of equal length s of an isosceles triangle is z. A spherical balloon is increasing at a rate of 5 inches per minute. At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at the rate of 20 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude.
At what rate is the height of the pile changing when it is 10 feet high? Active 6 years, 8 months ago. Viewed 25k times.
Add a comment. Active Oldest Votes. Let's start by writing what we know. Zach Zach 7, 1 1 gold badge 18 18 silver badges 49 49 bronze badges. This is a great detailed response. I noticed that you used the inverse tangent instead of converting to cosine -- these should theoretically give the same answer, right?
They give the same answer. The only thing you did wrong was write the derivative down as 1. You're under no obligation to do so, but if you particularly like an answer, you can accept by clicking the check button.
Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Create new account Request new password. Solution Time Rates. Average: 5 1 vote. More Reviewers Algebra. Structural Analysis. Plane Trigonometry.
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