Trapezoid Trough Rate of Change of Height:    • Find Rate of Change of Water Level in...  
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Calculus Introduction for Limits with example:    • Concept to Calculate Limit of Rationa...  
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Q1. A pebble dropped in a pond produces waves that spread at a constant rate of 1.5m/s. Find rate of increase of area of the circle when the radius is 10 m.
Q2. The volume of a spherical snowball of radius r is V=4/3 πr^3. A snowball is melting such that its radius is decreasing at the rate of 0.025 cm/s. Find the rate of change of volume with respect to time when the radius is 2 cm.
Q3. The surface area of a sphere of radius r is expanding at the rate of 0.05 cm/s. Find the rate of change of area with respect to time when the area is π 〖cm〗^2. [A=4πr^2]
Q4. Tap is filling water in a container at the rate of 240 〖cm〗^3/s, and the level rises at a rate of 0.8 cm/s. How fast is the volume changing for each cm increase in height?
Q5. Water is being pumped in the circular cone shaped tank at the rate of 1.8 m3/min. This 5 m high tank has 6 m diameter at the top. Find the rate at which the water level is rising when the water is 2 m deep.    / @mathematicstutor