4. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking out so that the surface is falling at the rate of ft/hr. Find the rate, in cubic feet per hour at which water is draining when the water is 8 feet deep. V =r²h А. В. 4л С. 8л D. 16л
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Given:
Depth of the conical reservoir, h = 20 feet
Radius of the conical reservoir, r = 10 feet
Water is leaking out so that the surface is falling at the rate of 1/2 ft/hr
i.e) (the rate is negative because, as the water leaks, the height decreases with the time , t)
To Find: The rate at which the water is draining when the water is 8 feet deep.
i.e) to find when h=8.
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