Question: Water is leaking out the bottom of a hemispherical tank of radius 8 feet at a rate of 2 cubic feet per hour. The tank

Water is leaking out the bottom of a hemispherical tank of radius 8 feet at a rate of 2 cubic feet per hour. The tank was full at a certain time. Flow fast is the water level changing when its height h is 3 feet? Note: The volume of a segment of height It in a hemisphere of radius r is Ï€h2 [r - (h/3)]. (See Figure 12.)

Step by Step Solution

★★★★★

3.51 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

V h 2 r h3 dVdt 2 r 8 V rh ... 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 (1726).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Suppose water is leaking from a tank through a circular hole of area Ah at its bottom. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water...

An outdoor decorative pond in the shape of a hemispherical tank is to be lled with water pumped into the tank through an inlet in its bottom. Suppose that the radius ofthe tank is R = 10 ft,...

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 the bottom of a hemispherical tank of radius 8 feet at a rate of 2 cubic feet per hour. The tank was full at a certain time. How fast is the water levelchanging when its height h...

Water is leaking out the bottom of a hemispherical tank of radius 8 feet at a rate of 4 cubic feet per hour. The tank was full at a certain time. How fast is the water level changing when its height...

Water is leaking out the bottom of a hemispherical tank of radius 9 feet at a rate of 4 cubic feet per hour. The tank was full at a certain time. How fast is the water level changing when its height...

1.Water is flowing at the rate of 60 m m3/min from a shallow concrete conical reservoir(vertex down) of base radius 40 m and height 4 m a. How fast(centimeters perminute) is the water level falling...

A hemispherical tank of radius 5 feet is positioned so that its flat side is at the bottom. Assume that the tank is full of water. ( Use the fact the weight - density of water is 6 2 . 4 lb per cubic...

A tank in the form of a right - circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. ( Assume the removed apex of the cone is of negligible height and...

This question from the final exam They don't give information. (6] (20 pts) A car is traveling at 50 mph due south at a point 1/2 mile north of an intersection. Another car is traveling at 40 mph due...

Use the LDLt Factorization Algorithm to find a factorization of the form A = LDLt for the following matrices: a. b. c. d. 4 1 A=1-1 30 Li 02 3 422 1138 2163 0311 1114 1021 1301 4111

The following table lists the 2009 total profits (rounded to millions of dollars) of the seven Fortune 500 companies in the Computers, Office Equipment category (Source: www.money.cnn.com/magazines/...

Which of the following is a disadvantage of cost - benefit analysis? Group of answer choices It only measures short - term training effects It does not consider financial outcomes It does not allow...

Team celebration at the end of the project: a. helps the team say good-bye b. signals that the project is over c. conveys a sense of success d. all of the above

During recessions, U.S. firm lay off a larger proportion of their workers than Japanese firm do. (It has been claimed that Japanese firms continues to produce at high levels and store the output or...

Many corporations allow CEOs to use the firms corporate jet for personal travel (see the Mini- Case Company Jets in Chapter 7 for more details). The Internal Revenue Service (IRS) requires that the...

There are certain fixed costs when you own a plane, [Andre] Agassi explained during a break in the action at the Volvo/ San Francisco tennis tournament, so the more you fly it, the more economic...

How would I answer this? Question 3 (1 point) A Toronto Blue Jays baseball player is able to hit the ball for 74% of the pitches that the player receives. A pitch happens when the baseball is thrown...

Garden Depot is a retailer that is preparing its budget for the upcoming fiscal year. Management has prepared the following summary of its budgeted cash flows: 1st Quarter 2nd Quarter 3rd Quarter 4th...

1. Determine the magnitude of the resultant force Fx and its direction, measured clockwise from the positive u axis. 701 30 459 5-300 N 500 N 325 N 2. If the resultant force acting on the bracket is...