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olya-2409 [2.1K]
3 years ago
13

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

iven V(r) = 0.07πr^2, where r is the radius of the slick in feet. In turn, the radius is increasing over time according to the function r(t) = 0.4t, where t is measured in minutes.
1) find (V of r)(t) and simply it
Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

V(t)=0.0112\pi t^{2}

Step-by-step explanation:

we have

V(r)=0.07\pi r^{2} -----> equation A

r(t)=0.4t -----> equation B

To find out (V of r)(t) substitute equation B in equation A

V(r(t))=V(t)

V(t)=0.07\pi (0.4t)^{2}

V(t)=0.07\pi (0.16)t^{2}

V(t)=0.0112\pi t^{2}

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