Question 1197756: Last night it started raining as Hibah was closing up the store where she works. By 3 am, the roof of the store developed a small hole and water began to leak onto the sales floor. The water created a circular puddle on the floor. At any time, t, in minutes, the radius of the puddle increases by 0.1 cm. The rain continued through the night, but stopped by the time the morning shift arrived at the store at 7 am.
When the employees arrived at work, the leak and water puddle were discovered. The employees cleaned up the water puddle and placed a tall circular bucket underneath the leak, which was still slowly dripping. The capacity of the bucket can be expressed as  . By 10 am, the amount of water in the bucket is  .
At around noon the store roof appears to have stopped leaking, so an employee removes the bucket that was catching the water and does not replace it. Overnight it begins to rain again, and water starts leaking from the ceiling onto the floor, again creating a circular puddle. The hole in the roof is larger this time, so at each time, t, in minutes, the radius of the puddle increases by 0.25 cm. Write a composition of functions to represent the area of the puddle as a function of time.
I already know that the function for the area of the puddle is f(x) = 3.14 × 0.25 × t². Could you please explain to me how to find the other equations I will need to solve this problem? Your help is greatly appreciated!
Answer by ikleyn(52792)   (Show Source):
You can put this solution on YOUR website! .
The person, who created this essay, was so exited by his composition that forgot to determine the meaning of the variable x.
Without this info, the essay consists of several logically disconnected parts, that do not integrate in whole meaningful composition.
By the way, what you already know about the area of the puddle, is incorrect.
I mean the formula which you use for it and claim as " what you already know " is incorrect.
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