Posted by Rachel | Posted in Coffee and Accessories | Posted on 11-04-2009
Tags: 4 coffee filter cone, 4 coffee filter cone holder, 4 cone white porcelain coffee filter holder, 4 porcelain coffee filter cone holder, coffee, cotton, filter, shop, shopping
Related Rates – Confusedd?
Suppose that you are brewing coffee and that hot water is passing through a special, cone-shaped filter. Assume that the height of the conic filter is 3 in. and thaqt the radius of the base of the cone is 2 in. If the water is flowing out of the bottom of the filter at a rate of 1.5 in^3/min when the remaining water in the filter is 2 in deep, how fast is the depth of the water changing at that instant?
Note: if d is depth of the water in the cone and the radius is r, the volume is given by: V=(1/3)pi*r^2*d
I know that the answer is (3^4/16)*(4*ln(3)-1) + (1/16) , but I do not understand the steps to get to that answer?
Sorry, wrong answer. I meant -.26857 in/min
V = π/3 r² h
r = 2h/3 …… similar triangles
V = 4π/27 h³
dVdt = 4π/9 h² dh/dt
-1.5 = 4π/9 (2)² dh/dt
dh/dt = -27/(32π) ≈ -0.268573966
Answer: dh/dt = -27/(32π) in/min …… ≈ -0.268573966 in/min
GSI Collapsible Java Drip Review
|
|
Cuisinart GTF Gold Tone Filter $0.01 Permanent gold-tone filter for use in the DCC-100, DCC-900, DCC-1000, DCC-1200, and DGB-300 series coffee makers by Cuisinart. … |
|
|
Cuisinart DCC-1200 Brew Central 12-Cup Programmable Coffeemaker $165.00 A striking blend of retro style and modern technology. Programmable for brewing up to 24 hours in advance. Setting for 1 to 4 cups ensures full-bodied flavor and aroma. BrewPause™ feature lets you enjoy a cup before brewing is finished. Adjustable heater plate setting keeps coffee at the temperature you prefer. Audible “ready” signal. Automatic shutoff. Includes Gold Tone metal filter, #4 pap… |
|
|
Black & Decker DCM18S Brew ‘n Go Personal Coffeemaker with Travel Mug $17.49 Great for commuters, office professionals, and one-coffee-drinker households, this personal coffeemaker brews 15 ounces of coffee directly into a stainless-steel travel mug. The mug has a rubber handle for a safe grip and a lid to keep coffee hot. It’s tapered to a 2-1/2-inch-diameter bottom, so it fits most vehicle cup holders. The coffeemaker itself is designed for an on-the-go coffee drinker. I… |
|
|
Melitta 64012 Ready Set Joe One Cup Coffee Maker $4.29 Melitta 64012 Ready Set Joe One Cup Coffee MakerMelitta 64012 Ready Set Joe One Cup Coffee Maker Features:; Convenience and fresh brewed taste is all included in this Melitta tradition; This coffee maker prepares coffee with that fresh brewed taste using Melitta number 4 filters; Top rack dishwasher safe; 12 oz mug included… |
|
|
Medelco #4 Cone Permanent Coffee Filter $0.01 #4 Cone, 8-12 Cup, Golden, Basket Permanent Coffee Filter, Universally Designed To Fit Most Coffee Makers, Heat Treated Surgical Grade Stainless Steel Mesh Filter, Color Can Not Wear Off, Environmental Option To Disposable Paper Filters, Top Rack Dishwasher Safe, Unlike The More Expensive Alternatives, 5 Year Limited Warranty…. |