Write and evaluate an integral for the total weight of water

Assignment Help Accounting Basics
Reference no: EM131011870

A farm pond is (on the surface) in the shape of a perfect circle with a radius of 100 feet. An underwater surveyor maps the bottom of the pond and finds (remarkably!!) that the for any value of r, 0 ≤ r ≤ 100 the depth of the pond at distance r feet from the center of the pond is (150 - 15√r) feet (so the pond is deepest at the center, where r = 0 and decreases as one moves from the center towards the shore.) If the water in the pond has weight density of 64 lb/ft3, find the weight of the water in the pond.

a. Consider a very thin ring of radius rk and centered at the center of the pond. Thus the depth of water at any point in this ring is 150 - 15√rk feet. If the width of the ring is Δrk, write a good estimate for the weight of water beneath this thin ring.

b. Based on your result from part a., write and evaluate an integral for the total weight of water in the pond?

Reference no: EM131011870

Questions Cloud

What should be the dimensions of each enclosure : If he has 960 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be maximized?
How much paint does john have total : A patient must receive a total of 5.1/3 ml of a drug. If the drug must be administered in three equal doses, how much is each dose?
Comparison of ldl levels for males and females : In Exercise 7.62 (page 467), the LDL levels for males and females were compared using the two-sample t procedures that do not assume equal standard deviations.
Find the dimensions for plot that would enclose most area : If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area.
Write and evaluate an integral for the total weight of water : Consider a very thin ring of radius rk and centered at the center of the pond. Based on your result from part a., write and evaluate an integral for the total weight of water in the pond?
Describe what specific leadership characteristics : With this individual in mind, please describe what specific leadership characteristics, traits and values this person has that you believe makes him or her a successful leader
Factor the trinomial : Multiply and combine like terms - Factor the trinomial and Solve the equation by factoring
Calculated the total standard time : With this information, Justin calculated the total standard time required to be within the 320 hours available. Is he correct? Calculate the time required and check the accuracy of his calculation
An improper signi?cance test : A friend has performed a signi?cance test of the null hypothesis that two means are equal. His report states that the null hypothesis is rejected in favor of the alternative that the ?rst mean is larger than the second.

Reviews

Write a Review

Accounting Basics Questions & Answers

  Receivables are usually a significant portion of

Receivables are usually a significant portion of

  Panarude airfreight is an international air freight hauler

panarude airfreight is an international air freight hauler with more than 45 jet aircraft operating in the united

  Formula for producing a food and beverage item

Which of the following control tools links a restaurant's suppliers and receiving staff, ensuring that the proper quality of products is available for food production and service? A formula for producing a food and beverage item is called

  Units of production data for the two departments of

units of production data for the two departments of continental cable and wire company for april of the current fiscal

  On january 2 2011 machinery and equipment were purchased at

the plant asset and accumulated depreciation accounts of pell corporation had the following balances at december 31

  Explain calculation of non-controlling interest balance

Consolidation adjustment/elimination journal entries that are required at the above financial year end date (i.e. for one year only).

  Problem on producing annual cash flows

An investment that costs $25,000 will produce annual cash flows of $5,000 for a period of 6 years. Further, the investment has an expected salvage value of $3,000. Given a desired rate of return of 12%, the investment will generate a (round your a..

  Watch corporation of switzerland claims that its watches on

watch corporation of switzerland claims that its watches on average will neither gain nor lose time during a week. a

  What you think the company might have done to prevent

What you think the company might have done to prevent this, or lessen the impact What you learned about the Foreign Corrupt Practices Act.

  Your portfolio is 200 shares of bmi stock the stock

your portfolio is 200 shares of bmi stock. the stock currently sells for 96 a share. the company has announced a

  Discuss applicable sales, licensing

Makes recommendations for the company to minimize the threat of lawsuits relating to privacy protection, product liability, or intellectual property rights.

  What are some of the motivations for changes in accounting

what are some of the motivations for changes in accounting principles changes in accounting estimates and accounting

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd