Consider a tank in the shape of a right circular cone that is leaking water through the vertex at the bottom. The conical tank has a height of 17 ft and a radius of 3 ft. Note: The volume of a right circular cone is V = How fast does the depth of the water decrease when the water is 7 ft high if the cone leaks water at a rate of 12 ft/min? Round to 3 decimal places. The depth of the water decreases at a rate of Question Help: Submit Question 3 rh. VIDEO ft/min. A triangle has two constant sides of length 3 ft and 2 ft. The angle between these two sides is increasing at a rate of 0.1 rad/s. Find the rate at which the area of the triangle is changing when the angle between the two sides is . Answer exactly or round to 3 decimal places. 7 6 Hint: The area of a triangle is A = E is the measure of the angle between The area is changing at a rate of ab sin(0) 2 them. Submit Question where a and b are the lengths of two of the sides and 0