1 min readβ’june 18, 2024

π₯**Watch: AP Calculus AB/BC - ****Related Rates**

The **volume of a cone** is a special related-rates case because of its **two variables that are both rates, radius and height**. In a cylinder, the radius is not a problem because it never changes. However, with a cone, **as the height changes, the radius will too!** Because of this, the VERY FIRST thing you should do when given a cone, is **making a proportion between radius and height**, and solve for the one that is unneeded to plug it into the volume formula before you do anything else!

A conical water tank with vertex down has a radius of 8 ft at the top and is 22 ft high. If the water flows into the tank at a rate of 10 ft^3/min,Β How fast is the depth of the water increases when the tank is 12 ft deep?

** **Remember, always round to 3 decimal places!**

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