A cylindrical rod made of ice is melting at a rate of 8 cm3 per minute. When the length of the rod is 12 cm and its radius is 2 cm, its length is decreasing at a rate of 0.25 cm per minute. How fast is the radius of the rod changing at this same moment?

Q: A hot-air balloon rises straight up at a constant speed of 20 feet/sec. An observer stands 200 feet…

A: The speed of the balloon is dydt=20 ft/s2=VyThe distance between observer and launchingpoint, x=200…

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A:

Q: Write -4+3i in polar form.

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Q: A man 2 mts high walks at a uniform speed of 6 km / h away from a lamp post 6 mts high. Find the…

A: According to the question,   To sketch the figure of the given condition,

Q: A car travels in a straight line.  It increases its speed from 22 m/s to 28 m/s with a constant…

A: Since distance formula for constant acceleration is  v2=u2+2ax where v is final velocity, u is…

Q: A metallic cylinder is placed in a machine press. During the press, the volume of the cylinder stays…

A:

Q: the top of a Sand falls at the rate of 30 ft³/min onto conical pile. The height of the pile is…

A: Given that sands falls at the rate of 30ft3/min to form a conical pile. Also that the height of the…