Question: A cylindrical tank is full at time t = 0 when a valve in the bottom of the tank is opened. By Torricellis Law, the

A cylindrical tank is full at time t = 0 when a valve in the bottom of the tank is opened. By Torricelli’s Law, the volume of water in the tank after t hours is V = 100(200 - t)², measured in cubic meters.

a. Graph the volume function. What is the volume of water in the tank before the valve is opened?

b. How long does it take the tank to empty?

c. Find the rate at which water flows from the tank and plot the flow rate function.

d. At what time is the magnitude of the flow rate a minimum? A maximum?

Step by Step Solution

★★★★★

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a At the beginning the volume is 4000000 cubic meters b The tank is empty ... 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

Students Have Also Explored These Related Calculus Early Transcendentals Questions!

a. Describe the relevant long-run proportion of interest in words. b. What statistical term is given to the long-run proportion you described in (a)? c. What value does the chance model assert for...

A cylindrical tank is filled with water to a depth of 9 meters. At t = 0, a drain in the bottom of the tank is opened and water flows out of the tank. The depth of water in the tank (measured from...

A cylindrical tank with a cross-sectional area of 100 cm 2 is filled to a depth of 100 cm with water. At t = 0, a drain in the bottom of the tank with an area of 10 cm 2 is opened, allowing water to...

The clepsydra, or water clock, was a device that the ancient Egyptians, Greeks, Romans, and Chinese used to measure the passage of time by observing the change in the height of water that was...

2) A cylindrical tank is full at time / = 0 hours when a drain valve is opened at the bottom of the tank. The volume of water remaining in the tank, measured in cubic meters, after t hours is given...

Volume v,(t) Valve Volume v(1) Valve Glyn James, Modern Engineering Mathematics 3rd ed Figure 1: Cylindrical Tanks Two cylindrical water tanks are connected as shown in Figure 1. Initially there are...

10. (16 points) A cone-shape tank of radius R is initially lled with water. There is a hole of radius n, at the bottom of the tank through which the water drains under the influence of gravity (Fig....

Question 4 3 Point If a cylindrical tank holds 200 liters of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law 12 gives the volume V of water remaining in the...

If a cylindrical tank holds 10,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume of water remaining in the tank after t minutes...

If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricellis Law gives the volume V of water remaining in the tank after minutes...

A cylindrical tank holds 20,000 gallons of water, which can be drained from the bottom of the tank in 20 minutes. Below is a table of data giving the volume V of water (in gallons) in the tank at...

Claudio owns a passive activity that has a basis of $28,000 and a fair market value of $38,000. The activity has suspended losses of $16,000. To reduce their estate, every year Claudio and his wife...

Ross Gellar has come to you for some help in computing his income from his investments. He is trying to plan for the payment of his 2019 taxes and wants an idea as to how much that tax bill will be....

Anaylsis: Upon completing the "status quo" budget, find ways to trim, consolidate, or increase income to improve the Davidson's budget. Make sure to consider ways to increase the family savings as...

=+ b. Do you think this policy will benefit all students? Why or why not?

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (2 cos t, 3t, 2 sin t)

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 2 ti + e t j + e -t k

Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = t 2 i + 2t j + ln t k

Given this code defining a class (shown with line numbers): 1: class newClass { 2: private: 3: int a; 4: public: 5: void setA(int value) { a = value; } 6: int getA() { return a; } 7: newClass(int...

Student name Score: 1. A null hypothesis states that there is A No significant difference between a population parameter and sample statistic. B. A significant difference between a population...

Explain the assumptions for using a two-sample independent t test. Provide an example for when you would use a a one-sample t test. Provide an example for when you might use a two-sample dependent...