Question

Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.

Answer 1

Answer:

$Area=45\pi square inches$

Step-by-step explanation:

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

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

When s=5

• Radius, $r(5)=3\sqrt{5} inches$

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

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

$Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\ Area=45\pi square inches$

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

Answer 2

Answer:

45

Explanation:

I got it correct in my test :)