An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second. The pyramid, at the top, has the shape of a square with b1 b2 sides of length 4 cm, and the height is 12 cm. (Note: b, = by in this case and will be called b. The volume of a square pyramid is V =-b. ) h Find the rate at which the water level is rising when the water level is 8 cm. cm/sec A cirde is inside a square. The radius of the circle is increasing at a rate of 5 meters per minute and the sides of the square are decreasing at a rate of 4 meters per minute. When the radius is 6 meters, and the sides are 16 meters, how fast is the AREA outside the cirde but inside the square changing? The rate of change of the area endosed between the circle and the square is square meters per minute. At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) knots A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (The volume of a sphere of radius T is 4 V = - 717 ). cm /min