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

Answers

Answer 1

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.

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Related Questions

A population of deer is separated by an emerging volcano. The two populations come back into contact 200 years later, but are incapable of breeding. Which of the following best describes the process that occurred?

adaptation

speciation

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stabilizing selection

Answers

Answer:
B. speciation

Step-by-Step-Explanation:
Speciation is a term used when the formation of new and distinct species in the course of evolution.
Speciation involves the splitting of a singular evolutionary lineage into two or more genetically independent lineages.

Answer:B

Explanation: I got it right

Question 2 of 4
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In the above scenario of improvement, one needs to take one's manager's criticisms and work on it soo that in other jobs you wont be asking for the next step of action as you already know it.

The extent of effectiveness in asking your manager where to go next is

effective a little beat because shows that you are following.

Note that it is not highly effective because one needs to know the net plan of action without asking the manager.

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Task Instructions You have just started on the Project Excite team and need to learn about the project. Consider how to effectively gather information given what Ravi, Kara, and Mark have shared. Question 3 of 4 How effective is it to ask your manager where to go next? Ineffective Highly effective

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What did many people feel should change in Europe after World War II?

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People felt that Europe was divided between the soviet and Us Blocks after World War II.

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World War II can be regarded as the global war of 1930s which was a conflict that hit almost entire globe.

Therefore, after the world war, Europe experience trouble in economy and there was division among people.

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Answers

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What is the addition rule of size for two subsets?

For two subsets A and B of the universal set U, we have:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

The probability of a new york teenager owning a skateboard is 0.37, of owning a bicycle is 0.36, and of owning both is 0.27.

Then the probability of the teenager owning a skateboard or a bicycle will be

P(A ∪ B) = 0.37 + 0.36 - 0.27

P(A ∪ B) = 0.73 - 0.27

P(A ∪ B) = 0.46

Thus, the probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%.

The events are mutually exclusive.

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Students are attempting to make a doorbell ring using some wire and a battery. What is needed to make the bell ring?

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Students are attempting to make a doorbell ring using some wire and a battery. An electrical cicuit is needed to make the bell ring.

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The diagram below shows four planets and their distances from the sun.


Light from the sun reaches Earth in 8.3 minutes. In how many minutes does light from the sun reach Venus?

Group of answer choices

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7.58 minutes

Answers

Answer:

5.98minutes

Explanation:

since speed of light is constant;

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Answers

Answer:

C

Explanation:

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Answer:

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Answers

It allowed scientists to change the theory before any new information was collected, is  the advent of the microscope most likely affect the foul-air theory.

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Scientists can now view a variety of things, such as viral activity, cell movement, pores, and so on, thanks to the invention of the microscope.

Thus, option C is correct.

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Answers

Answer:

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The exact, natural, economic, and social sciences that are pertinent to the study and practice of agriculture are a part of the broad, multidisciplinary field of biology known as "agriscience."

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