a cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. how fast is the height of the water increasing?

Answers

Answer 1

Answer:

0.026 m / min.

Step-by-step explanation:

Volume V = π7^2h

V = 49πh

dV/dh = 49π

Rate that the volume is increasing is 4 m3/min.

So dV/dt = 4

dV/dt = dh/dt * dV/dh

4 = dh/dt * 49π

dh/dt = 4/49π

= 0.026 m / min.

Answer 2

The required height of the water increase is given as 0.026 m/min.

Given that,
A cylindrical tank with a radius of 7 m is being filled with water at a rate of 4 m3/min, how fast is the height of the water increasing is to be determined

What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder =πr²h
Substitute the value in the above formula
Volume V = π7²h
V = 49πh
V/h = 49π  - - - - - - - (1)

Rate of the filling the tank is given,

V/t = 4
V = 4t
Substitute this in equation 1

4t / h = 49π
h / t = 0.026 m/s.

Thus, the required height of the water increase is given as 0.026 m/min.

Learn more about Volume here:
https://brainly.com/question/1578538

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Related Questions

his friends eat 6/10 what fraction are left

Answers

Answer:

3/5

Step-by-step explanation:

4/10 are left. We can reduce it and get 2/5.

Hope it helps you!

[tex]JoyfulLass[/tex]

[tex]Genius[/tex]

[tex]IAmHereToHelpYou[/tex]

Container A has 1600 ml of water and is leaking 12 ml per minute.

Container B has 2000 ml and is leaking 20 ml per minute.

Let m represest the number of minutes the contains are leaking.


How many minutes, m, will it take for the two containers to have the same amount of water

Answers

Answer:

at 50 minutes both containers will be at 1000 ml having the same amount of water

Step-by-step explanation:

look at the image

Part A: The product of xy and 3x^3y+7x^2y^2-4xy^3 will or will not demonstrate closure
Because the exponents of the products are....

Part B: The Product of x^2 + y^3 and x^4 - y^1 will of will not demonstrate closure
Because the exponents of the products are

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Here's the solution :

Product of xy and 3x³y + 7x²y² - 4xy³ :

[tex](xy)(3 {x}^{3} y + 7 {x}^{2} {y}^{2} - 4x {y}^{3} )[/tex]

[tex]3x {}^{4} {y}^{2} + 7 {x}^{3} {y}^{3} - 4 {x}^{2} y {}^{4} [/tex]

product of x² + y³ and x⁴ - y¹ :

[tex]( {x}^{2} + {y}^{3} )(x {}^{4} -{ y {}^{1}) }[/tex]

[tex] {x}^{6} - {x}^{2} y + {x}^{4} {y}^{3} - y {}^{4} [/tex]

Answer: It will demonstrate closer because the numbers are whole, just got them right on the test. Hope this helped :3

Step-by-step explanation: Cause I guessed and got them right.

Solve the equation: 3/8g + 2 = 5

Answers

Answer:

3/8g + 2 = 5  

Subtract the number 2 from both sides of the equation.

3/8g = 3

Now divide 3/8 from both sides of the equation.

3/8 divided by 3/8 equals 0.  3 divided by 3/8 equals 8.

The final answer is:

g = 8

------------------------------------------------------------------------------------------

Check your answer:

3/8g + 2 = 5

Substitute 8 into the spot where the variable g was.

3/8 X 8 + 2 = 5

So our answer x = 8 is true.

Step-by-step explanation:

I hope that this has helped you to understand this equation. If you have any questions please put them below in the comments. If there are no questions, please have a great rest of your day/night!

HELP PLEASE ASAP HELP!!!!!!!!!!
AWARD: 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a​ women's professional basketball league for the 2006 regular​ season, with a total of 850 points. The number of​ two-point field goals that Lindsey made was 57 less than double the number of​ three-point field goals she made. The number of free throws​ (each worth one​ point) she made was 41 less than the number of​ two-point field goals she made. Find how many free​ throws, two-point field​ goals, and​ three-point field goals Lindsey Smith made during the 2006 regular season.

Answers

Answer:

She made 138, 179 two point field goals and 118

3-point field goals during the regular season

Step-by-step explanation:

Answer:

118, 138, and 179 points

Step-by-step explanation:

x = 3-point goals

2-point goals = 2x - 57

free throws = 2x - 57 - 41

3x + 2x * (2x - 57) + (2x - 57 - 41) = 850

3x + 4x - 114 + 2x - 98 = 850

9x = 1062

x = 118

2x - 57 = 2 * 118 - 57 = 179

2x - 57 - 41 = 138

What is the slope of the following line?

2y - 6 = -6x


m = 6
m = 6

m = -6
m = -6

m = 2
m = 2

m = -3

Answers

U use y=mx+b to find the slope, and the answer would be m=-3

8(11 - x) = 152

Solve for x

Answers

the answer isssss x=-8

What is the LCD of 2/3,4/5,7/10 and ?

Answers

Answer:

30

Step-by-step explanation:

2/3 = 20/30

4/5 = 24/30

7/10 = 21/30

Answer: 30

Step-by-step explanation: 2/3 = 20/30, 4/5 = 24/30, 7/10 = 21/30

pleasee helpppp!!!!
A man is 47 years old, and his sister is 43 years old. How many years ago was the man twice as old as his sister?

Answers

Answer:39 years ago

Step-by-step explanation:The difference between his age and his sister's is 4.So when he was 8 she 4.So you do 47-8 which is 39.

Suzy wants to go on her class trip to New York City. If Suzy earns $8 per hour babysitting, how many hours does she need to babysit in order to raise at least the $500 needed for the trip?
PLEASE HELP ME

Answers

Answer:

Suzy needs to work 62.5 hours, or 62 hours and 30 minutes.

Hope it helps!

The outdoor temperature was 8 degrees at midnight. The temperature declined 5 degrees during each of the next 3 hours. What was the temperature at 3 A.M?

Answers

Answer:

-9 degrees

Step-by-step explanation:

workings -3 * 3 =  -9 degrees

how to order 4,\pi ,8 from least to greatest

Answers

Answer:

pi, 4, 8

Step-by-step explanation:

Can someone help me do this

Answers


180-60=120
60 is from the complementary angle
It’s 120 because exterior angle is equal to a + b in this case that’s 50 and 70 so 50 + 70 =120

Plz help me I’m almost done

Answers

Answer:

The answer is B because x = 4 so 12x4-3=45

Answer:

[tex]15x + 12x - 3 + 75 = 180 \\ 27x = 180 - 75 + 3 = 108 \\ x = 108 \div 27 = 4 \\ a = 12x - 3 = 12 \times 4 - 3 = 48 - 3 = 45[/tex]

-3(5n-8)=-8(n-3)

Please Hurry

Answers

Answer:

[tex] - 3(5n - 8) = - 8(n - 3)[/tex]

[tex] - 15n + 24 = -8 n + 24[/tex]

[tex] - 15n + 8n = 24 - 24[/tex]

[tex] - 7n = 0[/tex]

[tex]n = \frac{0}{ - 7} [/tex]

[tex]n = 0[/tex]

what are some typical transactions that students are likely to make?​

Answers

Answer:

Typical transactions include ATM withdrawals, debit card payments, and e-transfers.

help math!!

------------------

Answers

Answer:

your answer is 5.............

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

E. 13

Solution is in attachment ~

Spot the mistake! help please

I will give 5 stars and a favorite

Answers

Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5

Ill give you brainly if I get it correct.

Answers

Answer:

142 degrees.

The angle of a straight line is 180. The angle of EAB is given as 38 degrees. 180 - 38 = 142.

Answer:

[tex]3x - 15 = 2x + 10 \\ 3x - 2x = 10 + 15 = 2 5 \\ x = 25 \\ 3x + 15 =75 - 15 = 60 \\ ebf = 3x - 15 + 38 = 60 + 38 = 98[/tex]

does anyone know this?

Answers

Answer:

Cube

Step-by-step explanation:

What is the value of x?
Enter your answer in the box.

X=

Answers

Answer:

x=45°

Step-by-step explanation:

80+55=135°

180°-135°=45°

What is 3x+4(x-8)-14

Answers

My answer I got 7x - 46

[tex]\bigstar\boxed{\large\bf\purple{\leadsto 7x -46}}[/tex]

__________________________________________

[tex]\large\sf{\underline{Given:}}[/tex]

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 3x +4(x-8)-14}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 3x+ 4x-32-14}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 7x - 46}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

[tex]\large\sf{\underline{Hence,\:your\: answer\:is\:7x-46}}[/tex]

help me find x in this triangle

Answers

Answer:

x=176 degrees

Step-by-step explanation:

The first step to solving this is filling out any information we have. We know a solid line is 180 degrees, so the angle next to 92 must be 88.

We also know that the length of the line dividing 92 and 88 is equal to the other line with a small line in the middle. Because of this, the angle above the first 88 we found is also 88 degrees.

Now that we know two of the angles in the triangle add up to 176, we can figure out that the other angle is equal to 4. We know this because the sum of the interior angles of a triangle must equal 180.

This may seem off to you, but keep in mind that this diagram is likely not to scale.

Using the same rule we used for the first part we did, we can deduce that x equals 176.

please help is due today!!!!! 15 points​

Answers

Answer:

A

Step-by-step explanation:

you just follow the trail

Answer:

A - 2

Step-by-step explanation:

It can't be B or D, because the other triangle is bigger than the first one.

It is not 4 because if you count the squares, you will notice that b=2 and a=4. So the scale factor is 2.

2. Given f(x) = -2x2 - 5, find f(-4).

Answers

Given the function, f(x) = -2x^2 - 5: to evaluate f(-4), you must substitute the value of x = -4 as input into the function.

f(x) = -2x^2 - 5

f(-4) = -2(-4)^2 - 5

f(-4) = -2(16) - 5

f(-4) = -32 - 5

f(-4) = -37

Therefore, f(-4) = -37

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

5=9+w over negative 3

Answers

Answer:

-4

Step-by-step explanation:

A house was originally listed for sale at $250,00. After 3 months, the seller dropped the price to $235,000. What percent of decrease in the price

Answers

the correct answer is 6%

Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him

Answers

Answer:

138 I think

Step-by-step explanation:

2,000 - 750 ÷ 9 = 138

In-depth explanation please! Am I supposed to just add two lines?

Lesson 3-6. Construct a rectangle with sides b and a.

Answers

I would answer this question as:
You can maybe duplicate both lines "A&B" to make the shape of a rectangle. So basically just draw the lines "A&B" vertically next to the horizontal examples provided to make the shape.
Hope this helped :)


please screenshot and graph for me this makes no sense

Answers

Answer:

The x-axis

Step-by-step explanation:

This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.

So, the line is [tex]y=0[/tex], i.e. the x-axis.

So, graph the x-axis and we're done!

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