Bee balm plant is so aromatic that deer and rabbits stay away from it.
How fast is the area of the spill increasing when the radius of the spill is 18 inches is d) 90pi in ^2/min.
<h3>Area of the spill</h3>
Area of the spill=S=πr²
dS/dr=(πr²)=2πr
Radius change with speed=dr/dt =2.5(m/s)
Area of the spill will increase with speed
dS/dt = dS/dr × dr/dt =2πr ×dr/dt
=2π×18×2.5
=282.74m²/s or 90pi in²/min
Therefore the correct option is D.
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