a right cylindrical tank is full of water. the tank has a radius of 10 inches. how fast is the height of water in the tank changing if the water is being drained at 34 cubic inches per hour?



Answer :

The answer is 3/25π m/h.

What is unitary method?

  • The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
  • Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
  • Recognizing the units and values is crucial when using the unitary technique to a problem.
  • Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

  • v=πr²h
  • There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
  • V=π(5m)2h
  • by solving the equation with the given values

hence,The answer is 3/25π m/h.

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