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algol13
3 years ago
15

A tank in the shape of a right rectangular prism has a height of 5 feet, width of 3 feet, and length of 2 feet. It is full of a

liquid weighing 50 pounds per cubic foot. How much work does it take to pump all of the liquid out of the top of the tank

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

Step-by-step explanation:

Given

height of tank h=5\ ft

Width of tank w=3\ ft

length of tank L=2\ ft

suppose a layer of water at height h of thickness dh from bottom needed to be pump out

So distance moved by this layer to come out of tank is \Delta h=5-h

weight density of water \rho =50\ pounds/ft

Force required to hold this layer up F_s=2\times 3\times \Delta h\times 50=300\Delta h

Work done to remove the water

W=\int_{0}^{5}300\Delta hdh

W=\int_{0}^{5}300\left ( 5-h\right )dh

W=3750\ Pound-ft

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sweet [91]

The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

Let the height of the cylinder be'h'

Volume of the small cylinder=π r² h

Volume of the large cylinder= π r² (2h)

Volume of large cylinder/volume of small cylinder= 2/1

The large cylinder volume is twice the volume of the small cylinder.

5 0
2 years ago
If you roll a standard six sided dice, what is the probability you will roll a four?
astra-53 [7]

Answer:

1/6

Step-by-step explanation:

There are 6 sides on a dice. Every time you roll you you will have one of those sides. So it is a 1 in 6 chance of you getting 4, meaning that the answer to this problem is 1/6

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3 years ago
Mr. Kohl has a breaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives ea
77julia77 [94]

Answer:

There were 26 students in his class and the teacher had 83 ml of the solution.

Step-by-step explanation:

Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters  and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:

x = 3*n + 5

(x + 21)/n = 4

x + 21 = 4*n

x = 4*n - 21

Now that we have two equations and two variables we can solve the system of equations, as seen bellow:

3*n + 5 = 4*n - 21

3*n - 4*n = -21 - 5

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n = 26

x = 4*26 - 21 = 83 ml

There were 26 students in his class and the teacher had 83 ml of the solution.

3 0
2 years ago
Chen bought a 20-foot chain for $36.50. What is the unit rate of price per foot?
jasenka [17]
About 1.83. You would set up the equation like this
3 0
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Answer:

A.

Step-by-step explanation:

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8 0
3 years ago
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