SOLUTION: Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the begin

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Question 1076372: Suppose the spread of an oil leak from a tanker can be approximated by a circle with the tanker at its center and radius r, in feet. The radius of the spill t hours after the beginning of the leak is given by
r(t) = 48t.
(a) Find the area of the spill as a function of time.
A(t) = ........

(b) What is the area of the spill after 8 h? Round to the nearest whole number.
............ ft2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The area of a circle is given by

Since your radius is , your area must be



You can simplify as required.

To find the area at 8 hours, erase the and replace it with an 8. Then do the indicated arithmetic. Since the radius was given in feet and during the calculation of the Area you squared the radius, the answer must be expressed in square feet. Your answer should be more than 450,000 square feet and less than 500,000 square feet.


John

My calculator said it, I believe it, that settles it