Solving for the speed of volume

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Homework Statement
The trunk of a tree is approximately cylindrical in shape. The radius of the trunk is increasing at a rate of 0.002m/year and the height is increasing at a rate of 0.03 m/year. How fast is the volume of the trunk increasing when the diameter of the tree is 0.5 m and the height of the tree is 10 m?
Relevant Equations
V = (Pi)r²h
Screen Shot 2020-05-26 at 10.29.11 PM.png

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It looks good to me.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
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