A swimming pool has the shape of a box with the base that measures 20m by 17m and a uniform depth of 2.1m. How much work is required to pump the water out of the pool when it's full? Use 1000kg/m^3 for the density of water and 9.8m/s^2 for acceleration due to gravity. The amount of work required is

A swimming pool has the shape of a box with the base that measures 20m by 17m and a uniform depth of 2.1m. How much work is required to pump the water out of the pool when it's full? Use 1000kg/m^3 for the density of water and 9.8m/s^2 for acceleration due to gravity. The amount of work required is

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

See similar textbooks

Related questions

Q: Consider the functions f(x) g(x) 5-e7 = 35-2+6 There is an interval where the graph of g(x) lies…

A: The given functions are: fx=5e7x and gx=35x+6 It is given that there is an interval where the graph…

Q: Question 1 Suppose you make deposits into an investment account. These deposits occur in a sequence…

Q: 1. A certain country taxes the first $20,000 of an individual's income at a rate of 10%, and all…

A: As per guidelines we are allowed to solve maximum three sub-parts at time so i am solving first…

Q: 2. (T/F) Given a predicate formula , if we apply an "equivalence rule" to produce and equivalent…

A: Here we given that a predicate formula φ and if we apply an "equivalence rule" to produce and…

Q: 4. The following table provides the average price of Regular Grade of gasoline for 4 years. Use 2015…

Q: Graph the solution set of the system of linear inequalities and indicate whether the solution region…

Q: Describe the right-hand and left-hand behavior of the graph of the polynomial function.…

A: Right and left behavior of any polynomial depends on its degree ( highest power of x ) and co…

Q: Solve the differential equation 4yp2-2px-y=0

A: Given: The differential equation, 4yp2-2px-y=0 To solve: The given differential equation.

Q: √√y Find the mass and the center of mass of the lamina with density 8(x, y) = x² +1 the rectangular…

Q: ank is 10 meters above the street l o that the truck can pass under the

A: Given, Span= 24 meters, Height= 16 meters.

Q: Volume of the function g(x, y)=√√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥0. 6 2-…

Q: Discuss the continuity of the functions f and g. (x, y) = (0, 0) (x, y) = (0, 0) (x, y) = (0, 0) (x,…

A: Here given function as fx, y=x8-y8x4+y4x, y≠0, 00x, y=0, 0 and gx, y=x8-y8x4+y4x, y≠0, 06x, y=0, 0

Q: Let (Un) be a sequence of open sets in R then a) U₁is open, b) nis open.

Q: Solve the following non-homogeneous second order differential equation, by the method of variation…

Q: 7 v dx Use the trapezoidal rule with n = 20 trapezoids to evaluate I = √₁2x 1+2x Also, find the…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn) to approximate the…

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+2y+7;…

A: We find required volume of given region.

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤y≤16, 0≤z≤ with √√y density…

Q: 3. Rephrase the following statements in the form "If P, then Q" or "P iff Q". a.) If it is hot…

Q: Given 3 y₁ = x²³₁ (0,00) is soln to x²y²-6y=0 find y₂ and show linea independence.

Q: general solution of the differential equation x³y" + 6x² y" + 4xy' − 4y = 0 3 - is \x{(x) = ₁₁x + ²…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x)…

Q: Explain why S is not a basis for R³. S = {(8, 6, 13), (6, 1, 4), (3, 1, -5), (0, 8, 3)) OS is…

A: Definition of a basis of ℝ3 : A set S is said to be a basis of ℝ3 if i) It is linearly independent…

Q: QUESTION 2 The equation ut = 2uxx is a partial differential equation in one variable O an ordinary…

A: Given equation is ut = 2uxx

Q: PS1(2) If A, B = Mn(F) and a, BE F, prove that tr (aA + BB) = a tr A + 3 tr B.

A: Prove that if A, B∈MnF and α, β∈F, then trαA+βB=α trA+β trB.

Q: Use the Laplace transform to solve the initial-value problem y" - 3y' + 2y = e-4t, y(0) = 1, y'(0) =…

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: ln y to solve the differential equation (xy + 2xy ln² y + y ln y)dx + (2x² In y + x)dy = 0. (b) Use…

Q: -4.5 -4 -3.5 Select one: O y = y² - 2y None of these. ○ y = y² - 2y O y = y² + 2y -3 -2.5 -2 -1.5…

A: given direction field

Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

Q: Year 1 3 5 7 10 Population 16,763 17,007 17,226 17,418 17,639 Determine a model for the given data…

Q: Suppose f1 and f2 are two analytic functions so that Re(f1)=u and Re(f2)=u. Then h(z)=f1(z)-f2(z)…

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky+k² = 0 and…

A: To compute the volume of the solid region enclosed by the curves y=fx and y=gx, where a≤x≤b and…

Q: 5 Use the Implicit Function Theorem to prove that there exist C¹ functions u(x, y) and v=v(x, y)…

Q: 6. Prove that if M is a o-algebra on a set X and u is a comple: measure on M, then μ(X)<∞.

A: Let M be a σ-algebra on a set X. A complex measure on M is a complex-valued function μ:M→ℂ…

Q: The following scatterplot shows the relationship between x and y in a simple linear regression…

Q: Solve the linear programming problem. Maximize P = 40x + 50y Subject to 2x+y ≤ 12 x+y ≤ 7 x+2y ≤ 10…

Q: 2. Finite subsets of Rd are closed.

A: Here we have to prove that any finite subset of ℝd is closed. Here we can use that union of close…

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

Q: Consider the following function. f(x) = x + 31-7 (a) Find the critical numbers of f. (Enter your…

Q: what is the terminal velocity? 5 meters/second How long before the object reaches 90% of terminal…

A: As you have mentioned we have to answer 'last few unanswered parts' We already have v(t)=50-50e-0.2t…

Q: 2. Determine the Maclaurin Series (5th approximation) of the function defined by f(x) = sinx. a.…

A: Given that fx=sin x To find: (i) the Maclaurin series of 5th order. (ii) the relative…

Q: Consider the succession Hani defined by: an = 535an-1-2124an-2, n ≥ 2 For ao = 0 and a₁ = 527. 7.1…

A: Note: According to our companies guidelines I am supposed to do only the first three subparts.…

Q: The table shows how 10 students were ranked according to their achievements in both the laboratory…

Q: For all setsX, Y and Z, prove the given statements by the indicated method. Method of algebra and…

A: To Prove- For all sets X, Y and Z, prove the given statements by the indicated method. Method of…

Q: 1) let (X, T) be a topological space and A, BEX. In this case, show the following a) = 0 а) бала " a…

A: Given that X, τ is a topological space and A, B⊂X . To show: (a) if A is open , then ∂A∩A =ϕ…

Q: 3x 1. 31. -dx X +4 2. 2x3 2 3-4 dx

Q: Determine the third order polynomial below which has the following cartesian confitates (-1,-16),…

Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

Q: In 0 below, m/R = 40. T O R mRS=

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Find the center of mass of a thin plate covering the region bounded above by the parabola y = 4 - x2 and below by the x-axis. Assume the density of the plate at the point (x, y) is δ = 2x2, which is twice the square of the distance from the point to the y-axis.
A soft-drink company needs to design a cylindrical can that can hold 475 ml of fluid. What are the dimensions of the can that would require the least amount of material? please explain each your work
A cylindrical diet coke can is being made out of 54π in2 of material. What dimensions maximize the volume?
A cylindrical can has a volume of 2π cm3. What dimensions yield the minimum surface area?
A circular swimming pool, 10m in diameter and 1m high, is full of water. Set up but do not evaluate an integral for the work required to pump all of the water out over the side of the pool. The density of the water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s2.
A cubical tank with a side = 12 m is full of water. Calculate the work required to pump the water through an opening at the top of the tank. Integrate by hand.
An aquarium 8 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.)
A cylindrical can with volume 40 pi cm^3 is to be constructed. The material to beused for the sides of the can costs Php 6.25 per square centimeter, while the material tobe used for the top and bottom of the can costs Php 1.00 per square centimeter. Find thedimensions that will minimize the cost of the required material to construct the can.