You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...

Question

Question

You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ft3/hr. If the pool is 16ft

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

The volume V of rectangular prism swimming pool is given by

V=w×L×h

We know the rate of change of volume,

dV/dt=25 ft^3/hr

The formula for the volume of water can be written as

V(h)= 16×20×h

dV/dh=320

Dh/dV=1/320

The rate of change in depth of water per unit of time is

dh/dt=dh/dV×dV/dt

We have dV/dt= 25 ft^3/hr

dh/dt=(1/320)×25=0.078125 ft/hr

Add a comment

Answer 2

Similar Homework Help Questions

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

A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep end, and 3 feet deep at the shallow end; the bottom is rectangular. 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?
1. A swimming pool has a dimension of at the rate of 16 ft wide, 32...

1. A swimming pool has a dimension of at the rate of 16 ft wide, 32 ft long and 8 ft deep. If it needed to be filled to full in 32 hours, what should be the rate in gal/min for water flowing to the pool? a) 24 b)16 c)12 d)8 e) 36 2. Kiki releases a rock at rest from the top of a 80 m tower. What is the speed of the rock as it hits the ground?...
Need just the results. Thank you! rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when find the rate at which water is being p...

Need just the results. Thank you! rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) 290253 cm3/min Need Help? Resd Watch iTalk to a Tutor Submit Answer Save Progress Practice Another Version o 01 points | Previous Answers SCalcET8 3 9...

A milk carton is shaped like a tall box with a triangular prism on top. The sides of the top section are isosceles triangles. This particular milk carton has a 5 inch × 5 inch square base, and is 11...

A milk carton is shaped like a tall box with a triangular prism on top. The sides of the top section are isosceles triangles. This particular milk carton has a 5 inch × 5 inch square base, and is 11 inches tall. (See the picture.) in 8 in Suppose you're filling the carton with liquid at a rate of 10 inches3 per minute. In this problem, you'll figure out the rate of change of the height of the liquid in...
1. If a gas under 5 atmospheres of presssure has a volume of 2 liters and...

1. If a gas under 5 atmospheres of presssure has a volume of 2 liters and a temperature of 10 degree celsius, What will be the new volume if the pressure increases to 7 atmospheres and the temperature rises to 50 degrees celsius? A. 1.6 L b. 3.7 L C neither A nor B 2. 300 g of ice at zero degree centigrade is mixed with 500 g of water at 50 degrees centigrade. What will be the final temperature...
1. If a gas under 5 atmospheres of presssure has a volume of 2 liters...

1. If a gas under 5 atmospheres of presssure has a volume of 2 liters and a temperature of 10 degree celsius, What will be the new volume if the pressure increases to 7 atmospheres and the temperature rises to 50 degrees celsius? A. 1.6 L b. 3.7 L C neither A nor B 2. 300 g of ice at zero degree centigrade is mixed with 500 g of water at 50 degrees centigrade. What will be the final...

Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++...

Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++ 6- +++++++++ 7- +++++++ 8- ++++++++++++++ 9- Calculate the average density of the following astronomical body: Mars. Mars = kg/m3 Where does the value fit among those listed in the table below? Look up the density of a typical rock, such as granite in another source and compare the density of Mars to it. A proton, which is the nucleus of a hydrogen atom,...
Recall the method of calculating real GDP detailed in the chapter. As you may already have noticed, this method has a problem: in calculating aggregate output, this method weights the output of the various goods and services by their relative prices in

Recall the method of calculating real GDP detailed in the chapter. As you may already have noticed, this method has a problem: in calculating aggregate output, this method weights the output of the various goods and services by their relative prices in the base year. Say, for example, a textbook costs $100 in the base year, and a laptop costs $2,000. This means that the laptop would have 20 times the weight of a book in calculating aggregate output. But what happens when relative prices change? As you know,...
(1) Suppose you lift a stone that has a mass of 5.3 kilograms off the floor...

(1) Suppose you lift a stone that has a mass of 5.3 kilograms off the floor onto a shelf that is 2 meters high. How much work have you done? Joules (2) Suppose you lift a laptop that weighs 3.2 pounds off the floor onto a shelf that is 4 feet high. How much work have you done? foot-pounds (3) The force on a particle is described by 9x^3−1 pounds at a point xx feet along the x-axis. Find the...

Gigabyte, Inc. manufactures three products for the computer industry: Gismos (product G): annual sales, 8,000 units...

Gigabyte, Inc. manufactures three products for the computer industry: Gismos (product G): annual sales, 8,000 units Thingamajigs (product T): annual sales, 15,000 units Whatchamacallits (product W): annual sales, 4,000 units The company uses a traditional, volume-based product-costing system with manufacturing overhead applied on the basis of direct- labor dollars. The product costs have been computed as follows: Raw material Direct labor Manufacturing overhead* Total product cost Product G $ 35.00 16.00 (.8 hr. at $20) 140.00 $191.00 Product T $...

You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...

Homework Answers

Add Answer to:
You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...

Post as a guest

Earn Coins

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

1. A swimming pool has a dimension of at the rate of 16 ft wide, 32...

Need just the results. Thank you! rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when find the rate at which water is being p...

A milk carton is shaped like a tall box with a triangular prism on top. The sides of the top section are isosceles triangles. This particular milk carton has a 5 inch × 5 inch square base, and is 11...

1. If a gas under 5 atmospheres of presssure has a volume of 2 liters and...

1. If a gas under 5 atmospheres of presssure has a volume of 2 liters...

Could you please answer these questions 1- ++++++++ 2- +++++++ 3- +++++++ 4- ++++++++++++++ 5- ++++++++++...

Recall the method of calculating real GDP detailed in the chapter. As you may already have noticed, this method has a problem: in calculating aggregate output, this method weights the output of the various goods and services by their relative prices in

(1) Suppose you lift a stone that has a mass of 5.3 kilograms off the floor...

Gigabyte, Inc. manufactures three products for the computer industry: Gismos (product G): annual sales, 8,000 units...

You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...

Homework Answers

Add Answer to: You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...

Post as a guest

Earn Coins

Add Answer to:
You are filling up a rectangular prism swimming pool with a garden hose that has an output of 25 ...