Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Paint spills onto a floor in a circular pattern. the radius of the spill increases at a constant rate of 2.5 inches per minute. how fast is the area of the spill increasing when the radius of the spill is 18 inches?
a) 5pi in^2/min
b) 36pi in^2/min
c) 45pi in^2/min
d) 90pi in ^2/min

Sagot :

abiolataiwo2015

How fast is the area of the spill increasing when the radius of the spill is 18 inches is d) 90pi in ^2/min.

Area of the spill

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.

Learn more about area of the spill here:ttps://brainly.com/question/3818648

#SPJ1

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.