Water is being pumped into a cylindrical tank at a constant rate of 5 gallons per minute, as shown in Figure 21 The tank has diameter 3 feet and length 9 5 feet The volume of the tank is Iuml r2l Iuml Atilde 1 52 Atilde 9 5 67 152 cubic feet 500 gallons With out doing any calculations, sketch a graph of the height h of the water as a function of time t (see Example 6) Where is h concave up Concave down 3 fi 9 5 ft

Question: Water is being pumped into a cylindrical tank at a constant rate of 5 gallons per minute, as shown in Figure 21.The tank has diameter

Water is being pumped into a cylindrical tank at a constant rate of 5 gallons per minute, as shown in Figure 21.The tank has diameter 3 feet and length 9.5 feet. The volume of the tank is Ï€r2l = Ï€ Ã— 1.52 Ã— 9.5 ‰ˆ 67.152 cubic feet ‰ˆ 500 gallons. With-out doing any calculations, sketch a graph of the height h of the water as a function of time t (see Example 6). Where is h concave up? Concave down?

3 fi 9.5 ft

Step by Step Solution

★★★★★

3.40 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The height is always increasing so ht 0 The ... 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 (1803).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Do e-mail transmissions that bear the typed name of the sender at the foot of the message constitute "signed writings" sufficient to modify an employment agreement?

Suppose that water is being pumped into a rectangular swimming pool of uniform depth at 10/ft3 hr. If the pool is 10 ft wide and 25 ft long, at what rate is the water rising when it is 4 ft deep?

Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at...

Water is leaking out of an inverted conical tank at a rate of 10,000 cm/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at...

Question 1 Two tanks are connected by a series of pipes as shown in Figure 2. Tank 1 initially contains 60 gallons of brine in which 11 pounds of salt are dissolved. Tank 2 initially contains 7...

Jamboard Problem 4a (optimization) A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can costs $0.015 per square inch and the...

T. Houdini 135 Prestidigitator Avenue Handcuff, WI 59055 October 15, 1 997 Math 104 Students Wheaton College Norton. MA 02766 Dear Calculus Students: l have decided to continue the family business...

Dear Calculus Students: I have decided to continue the family business established by my grandfather, and I need some help planning one of the escapes that I am including in my inaugural tour. When I...

The rectangular frame in Figure is free to rotate about the axis A-A on the horizontal shaft. The frame is 10 cm long and 6 cm wide and the rods that make up the frame have a mass per unit length of...

How much time a person will devote to producing and stealing depends on the ratio of marginal benefits to marginal costs of each activity. Give a numerical example to illustrate this point.

a . 1 . Select the correct sentence for errors in the preceding report. 1 . The maintenance salaries of $ 1 0 6 , 2 0 0 and indirect materials of $ 7 0 , 8 0 0 should be included as factory overhead....

Solve the given initial-value problem. y'' + 4y' + 5y = 35e -4x , y(0) = -3, y'(0) = 1

Part 1: On July 1, 2022, Wallace Company, a calendar-year company, sold specialorder merchandise on credit and received in return an interest-bearing note receivable from the customer. Wallace...

Matrixx Initiatives, Inc., makes and sells over-the-counter pharmaceutical products. Its core brand is Zicam, which accounts for 70 percent of its sales. Matrixx received reports that some consumers...

The Allianz Global Investors Center for Behavioral Finance (befi.allianzgi.com/en/Pages/default.aspx) puts academic theory into action, turning behavioural insights into actionable ideas and...

Aircraft A is ying east at 320 mi/hr , while aircraft B is flying south at 160 mi/hr. At 1:00 P.M. the aircraft are located as shown in Figure P41. Figure P41. a. Obtain the expression for the...

(Optimal Provision of Public Goods) Using at least two individual consumers, show how the market demand curve is derived from individual demand curves (a) for a private good and (b) for a public...

The following is intended to explore what kinds of own-price demand relationships are logically possible in a two-good model with exogenous income (unless otherwise specified). A: For each of the...

The following is intended to explore what kinds of cross-price demand relationships are logically possible in a two-good model with exogenous income. A: For each of the following, indicate whether...

In Graph 9.4, we illustrated how you can derive the labor supply curve from a consumer model in which workers choose between leisure and consumption. A: In end-of-chapter exercise 3.1, you were asked...

Consider the following sample data: 4 2 5 0 3 2 5 2 3 8 4 8 a . Calculate the range. b . Calculate MAD. ( Round your intermediate calculations to at least 4 decimal places and final answer to 2...

Matsumoto Limited (ML), a large conglomerate firm, has a capital structure that currently consists of 20 percent long-term debt, 10 percent preferred stock, and 70 percent common equity. ML has...

Investing $2,000,000 in TQM's Channel Support Systems initiative will at a minimum increase demand for your products 1.7% in this and in all future rounds. (Refer to the TQM Initiative worksheet in...