Question: A rectangular swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow

A rectangular swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end (see Figure 10). If the pool is filled by pumping water into it at the rate of 40 cubic feet per minute, how fast is the water level rising when it is 3 feet deep at the deep end?

401

Step by Step Solution

★★★★★

3.40 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

V hx2 20 405 x h x 8h ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

955-M-C-D-E (1715).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

An above-ground swimming pool contains 1024 cubic feet of water. The rectangular base of the pool is (x + 1) feet by x feet. The height of the water is 4feet. (a) What are the possible dimensions of...

You have 1000 feet of flexible pool siding and wish to construct a swimming pool. Experiment with rectangularshaped pools with perimeters of 1000 feet. How do their areas vary? What is the shape of...

A circular swimming pool, 20 feet in diameter, is enclosed by a wooden deck that is 3 feet wide. What is the area of the deck? How much fence is required to enclose the deck? 20' II

A swimming pool is 40 ft long, 20 ft wide, 8 ft deep at the deepest end and 3 ft deep at the shallow end, the bottom being rectangular. If the pool is filled by pumping water into it at the rate of...

All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the volume changing when each edge is 2 centimeter(s)? cm3/sec (b) How fast is the volume changing when each...

di 14. Radius A spherical balloon is inflated with gas at the rate dx (b) - when x = 25 ay = 2 of 800 cubic centimeters per minute. dt (a) Find the rates of change of the radius when r = 30...

A swimming pool is 20 feet wide, 40 feet long, 4 feet deep at one end, and 8 feet deep at the other end (see figures). The bottom is an inclined plane. Find the fluid force on each vertical wall. 8...

1. Find the perimeter and area of a square state park with sides of length 8 miles 2. Find the perimeter and area of a postage stamp with a length of 2.2 centimeters and a width of 2.0 centimeters 3....

4. A rectangular swimming pool is 5 feet deep at one end and 10 feet deep at the other end, and the bottom is an inclined plane. The length and the width of the pool are respectively 40 ft and 20 ft....

Sites Pre-Algebra Part II, (Revision B) Exams & Quizzes Log Out 04 - Lessons 4 & 5, Exam 4 Part 1 of 2 - 0.0/ 49.999508 Points 0.0/ 3.3333 Points Question 1 of 30 You cut square corners with side...

A regular work week is 40 hours. Overtime pay is time and one -half. Isabel drives truck for $8.75 an hour. If she worked 40 hours, what would her gross earnings be for one week?

Solve the missing items for each independent case. The cost of sales is 60 per cent of sales revenue for each case. Sales Cost of Other Kevenue Sales Expenses Profit 138000 (a) 132000 134 700 (g)...

Business Finance - Stocks and Bonds Which one of the following provides income that is fully exempt from taxation for the individual investor? A Preferred stocks. B Municipal bonds. C Treasury notes....

The concept of preemptive prevention definitely holds true in projects where the lack of timeliness of a solution is a key to project success. a. true b. false

Use the Maclaurin series for sin x to compute sin 3o correct to five decimal places.

Evaluate the indefinite integral as an infinite series. sin x 39. x cos(x) dx 40. dx + I dx 42. 41. V dx

IPO Z has $625 million in Sales and $52 million in Earnings. They are seeking to issue 30 million shares. Use comparable stocks to estimate a range price for IPO Z. (sales, earnings, and shares...

Suppose Petroxy Oll Co. is going public and, based on the bookbullding process, decides it will be issuing 150,000 shares of common stock to raise capital to fund the company's proposed expansion....

Considering the following information, Original amount of the existing loan: $300,000 Term of the original mortgage: 15 years Contract interest rate on existing mortgage: 7% Current loan mortgage...