Question

Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of

modeled by the function r(s)=315, where sis time in seconds.

The area of the spill when s=5 seconds is

1 square inches.

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Answer 1

Answer:

$45\pi square inches$

Step-by-step explanation:

The radius, r of the expanding circle of oil is modeled by the function:

$r=3\sqrt{s}$ , where s is time in seconds.

When s=5

Radius $r(5)=3\sqrt{5} inches$

Area of a circle $=\pi r^2$

Therefore, the area of the oil spill when s=5 seconds

$=\pi* (3\sqrt{5})^2\\=45\pi square inches$

The area of the spill when s=5 seconds is 45pi square inches.