Find the amount of work to fill up the trough

Assignment Help Mathematics
Reference no: EM13193429

A trough is 6 feet long, 3 feet wide, and 3 feet deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 feet, and base, on top, of length 3 feet). The trough is to be filled with water (density 62.4 lbs/cubic foot). Find the amount of work to fill up the trough.

First give the integrand expressed in terms of h, the terms of the height in feet from the bottom of the trough.

 

Reference no: EM13193429

Questions Cloud

For what value of x is the perimeter largest : A rectangle is inscribed in a circle of radius 2. Let P= (x,y) be the point in quadrant 1 that is a vertex of the rectangle and is on the circle.
Calibration curve for absorbance versus the concentration : A calibration curve for absorbance versus the concentration of the chemical indicator crystal violet is found to have a slope of 19. If a sample of unknown concentration has an absorbance of 1.32
What is the length of the diagonal : The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 173 cm, what is the length of the diagonal?
State the speed just before striking the ground : what would its speed be just before striking the ground? Ignore the effects of air resistance
Find the amount of work to fill up the trough : First give the integrand expressed in terms of h, the terms of the height in feet from the bottom of the trough.
Find the height of a pole : At a certain time of day, the angle of elevation of the sun is 64°. To the nearest foot, find the height of a pole whose shadow at that time is 13 feet long.
Notion that religion and science can coexist : Explain whether you agree or disagree with the notion that religion and science can coexist - Scholars Says Religion and Science can Co-exist that substantiate your position.
Find the point on the line : Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
Find the dimensions of the poster : A poster of total area 256 in2 is to have a margin of 4 inches at the top and bottom and 1 inch at each side.(a) Find the dimensions of the poster which give the largest printed area.

Reviews

Write a Review

Mathematics Questions & Answers

  Equations-permutations and combinations

As a business owner, there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company's products. Your company produces two models of bicycles: Model A and Model B..

  Calculate the term of the bond

A bond with a face value of 100; 000 has coupons of 3% per annum payable semi-annually. It will be redeemed at par. It is purchased for a price of 91,825. At this price the yield to maturity is 4% per annum convertible semi-annually. Calculate the..

  What is the speed of the wind

a twin-engine aircraft can fly 768 miles from city a to city b in 3 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?

  Label the lengths of two adjacent sides of each rectangle

on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.

  Draw until we find the first white ball

Balls are drawn from a box containing m white and n black balls until a white ball appears. How many balls in average do we anticipate to draw until we find the first white ball?

  What is the cost recovery deduction for 2011 rounded

Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?

  What is the central angle of a circle wih an arc length

What is the central angle of a circle wih an arc length of 29.21 and the circumference of 40.44 ?

  About how deep is the submarine after 5 minutes

A submarine dives at an angle of 12 degrees to the surface of the water. The submarine travels at a speed of 740 feet per minute. About how deep is the submarine after 5 minutes?

  Calculate the monthly break even volume for the company.

Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is USD 25,000, and its variable cost per pound of fertilizer is USD 0.15. Evergreen sells the fertilizer for USD 0.40 per pound. Calculate the monthly break even volum..

  Determining platonic solids

You are experimenting with designs for a fruit bowl with a square base. The general idea is to attach congruent regular polygons to the sides of the base and "fold them up" until the closest edges of adjacent polygons meet.

  Determine the population proportion

Determine the population proportion

  Calculating the probability from a given situation

Calculating the probability from a given situation using combinations. A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random.

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