The density of oil in a circular oil slick on the surface of the ocean at a distance of $r$ meters from the center of the slick is given by $δ (r) = \frac{45}{1 + r ^{2}}$ kilograms per square meter. Find the exact value of the mass of the oil slick if the slick extends from $r = 0$ to $r = 10$ meters. $Mass =$ (include units)

Question

The density of oil in a circular oil slick on the surface of the ocean at a distance of

r

meters from the center of the slick is given by

δ (r) = \frac{45}{1 + r ^{2}}

kilograms per square meter. Find the exact value of the mass of the oil slick if the slick extends from

r = 0

to

r = 10

meters.

Mass =

(include units)

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