An explosion at an oil rig located in gulf waters causes an elliptical oil slick to spread on the surface from the rig. The slick is a constant 9 in. thick. After several days, when the major axis of the slick is 2 mi long and the minor axis is 3/4 mi wide, it is determined that its length is increasing at the rate of 30 ft/hr, and its width is increasing at the rate of 10 ft/hr. At what rate (in cubic feet per hour) is oil flowing from the site of the rig at that time?
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.
An explosion at an oil rig located in gulf waters causes
an elliptical oil slick to spread on the surface from the rig. The slick
is a constant 9 in. thick. After several days, when the major axis of
the slick is 2 mi long and the minor axis is 3/4 mi wide, it is determined
that its length is increasing at the rate of 30 ft/hr, and its
width is increasing at the rate of 10 ft/hr. At what rate (in cubic feet
per hour) is oil flowing from the site of the rig at that time?
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