1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ikadub [295]
3 years ago
8

Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

ft. Use the fact that the weight-density of water is 62.4 lb/ft3
Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

<em>work done is equal to 384279168 lb-ft</em>

<em></em>

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as \pi r^{2} h

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = 3.142* 7^{2}*200 = <em>30791.6 ft^3</em>

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = <em>1921395.84 lb</em>

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> <em>work done is equal to 384279168 lb-ft</em>

You might be interested in
Using the formula for initial velocity h=-16t2+VT the height of any object can be found by the time, Annalee serves a volleyball
Zolol [24]

Answer:

evvvvvvvvv

Step-by-step explanation:

errrrrrrrrrrrrrrv

5 0
2 years ago
What is 81 to the power of 0.5?
Kisachek [45]
It would be 40.5 or 40 1/2
3 0
3 years ago
Read 2 more answers
A newspaper article states that 90% of drivers in Iowa wear their seatbelt. Suppose we are interested in estimating the proporti
konstantin123 [22]

Answer:

The sample size is  n  = 3457

Step-by-step explanation:

From the we are told that

  The population proportion is  p =  0.90

  The margin of error is  E =  0.01  

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally the sample size is mathematically represented as

       n  =[  \frac{ Z_{\frac{\alpha }{2} }  }{E} ]^2 * p(1-p)

=>  n  =[  \frac{ 1.96  }{0.01} ]^2 * 0.90(1-0.90)

=>   n  = 3457

8 0
3 years ago
You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000, and you had medical expenses of $
alukav5142 [94]
Answer
<span>c) $567
</span>
Explanation
The income is $42,000
6% 0f $42,000 = 6/100 ×42,000
                        = 0.06×42,000
                        = $2,520

This is more than your medical expense. This means that the portion that your medical expense that you can deduct is the whole amount, $567.
6 0
3 years ago
Read 2 more answers
Which of the following expressions are polynomials?
AlekseyPX

Answer:

1,3 and 5

Step-by-step explanation:

1) -2(7x + 1) − 5(3x2 + 3x + 2)

= -14x - 2 - 15x^2 - 15x - 10

= -15x^2 - 29x - 12

2) (5x2 − 10x + 8) − (10x2 + 19x + 20)

= 5x^2 - 10x + 8 - 10x^2 - 19x - 20

= -5x^2 -29x - 12

3) (-7x2 − 21x + 13) − (8x2 + 8x + 25)

= -7x^2 - 21x + 13 - 8x^2 - 8x - 25

= -15x^2 - 29x - 12

4) (-19x2 − 4x - 7) + (4x2 + 25x − 5)

= -15x^2 + 21x - 12

5) (-17x2 + 2x − 3) + (2x2 − 31x − 9)

= -15x^2 -29x - 12

6) -2(4x − 15) − 3(5x2 + 7x + 6)

= -8x + 30 - 15x^2 - 21x - 18

= -15x^2 - 29x + 12

5 0
3 years ago
Other questions:
  • Hayden is organizing his assets and liabilities in the table below. If his net worth is $17,550, then how much does he have in h
    15·1 answer
  • Multiple 3/4 times 16/9
    10·2 answers
  • Correct answers only please!
    14·2 answers
  • Studying mathematics in the night is better than the morning study and why?
    10·1 answer
  • Sofia is taking a multiple choice test with a total of 80 points available. Each question is worth exactly 4 points. What would
    14·1 answer
  • Find the vertex of f(x)=4x^2+19x+12. Please help, thanks!
    9·1 answer
  • My mother is one 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
    14·1 answer
  • -c - 11&gt;23 solving inequality if u show your work I'll make yo brainliest
    12·1 answer
  • Please write blue splat
    9·1 answer
  • Reka Maharis drove her vehicle to and from work last year. Her records show a total of $1,560 for fixed costs and $3,740 for var
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!