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stich3 [128]
3 years ago
6

An oil tanker spills oil that spreads in a circular pattern whose radius increases at a rate of 15 ft/min. Let A be the area of

the circle and r be the radius of the circle. How fast is the area increasing when the radius is 30 feet
Mathematics
1 answer:
frutty [35]3 years ago
3 0

Answer:

2827.4 \dfrac{ft}{s}

Step-by-step explanation:

A = \pi r^2

\dfrac{dA}{dt} = 2 \pi r \dfrac{dr}{dt}

\dfrac{dA}{dt} = 2 \times \pi \times 30~ft \times 15 \dfrac{ft}{s}

\dfrac{dA}{dt} = 2827.4 \dfrac{ft}{s}

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