Name_ 1 . The radius of a circle is increasing at a rate of 3 centimeters per minute. Find the rate of change of the area when the diameter is 48cm. 2. A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast is the radius of the balloon increasing at the instant the radius is 30 centimeters? 3. All edges of a cube are expanding at a rate of 3centimeters per second. How fast is the volume changing when each edge is 10 centimeters?4. A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 15 feet from the wall? 5. A cylindrical tank standing upright (with one circular base on the ground) has radius 3 meters. How fast does the water level in the tank drop when the water is begin drained at 8 liters per second? 6. A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius of the outer ripple is increasing at a rate of 2 feet per second. When the radius is 6 feet, at what rate is the total area of the disturbed water changing