4. An engineer is planning a reinforced concrete ring on their computer (see picture below). The concrete ring has an inner radius r, outer radius R and height h. Such a ring has a volume of V = th(R² – r²). The engineer is increasing the inner radius r and the height h by 1 m/sec at a certain time to. (a) What is the rate of change of the volume V at to if the engineer fixes R to have a constant value? (your answer should possibly involve r, R and h).

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.