a cylinder water tank carries a volume of 150L when it is full. The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank?​

Answers

Answer 1

Answer:

9.74418019cm=h

~ 9.7442

Step-by-step explanation:

volume of a cylinder=πr²h

radius=½of diameter

=½×140cm

=70cm

1l=1000cm³

150l=150l/1l×1000cm³

=150000cm³

150000cm³=π(70cm)²×h

150000cm³=15393.8040cm²h

150000cm³/15393.8040cm²=15393.8040cm²h/15393.8040cm²

150000cm³/15393.8040cm²=h

9.74418019cm=h


Related Questions

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a spring 30 centimeters. How much work is done in stretching the spring from 30 centimeters to 60 centimeters?

Answers

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

[tex]F =450N[/tex]

[tex]x_1 = 30cm[/tex]

[tex]x_2 = 60cm[/tex]

Required

The work done

First, we calculate the spring constant (k)

[tex]F = kx_1[/tex]

[tex]450N = k *30cm[/tex]

[tex]k = \frac{450N}{30cm}[/tex]

[tex]k =15N/cm[/tex]

So:

[tex]F = kx_1[/tex]

[tex]F(x) = 15x[/tex]

The work done using Hooke's law is:

[tex]W =\int\limits^a_b {F(x)} \, dx[/tex]

This gives:

[tex]W =\int\limits^{60}_{30} {15x} \, dx[/tex]

Rewrite as:

[tex]W =15\int\limits^{60}_{30} {x} \, dx[/tex]

Integrate

[tex]W =15 \frac{x^2}{2}|\limits^{60}_{30}[/tex]

This gives:

[tex]W =15 *\frac{60^2 - 30^2}{2}[/tex]

[tex]W =15 *\frac{2700}{2}[/tex]

[tex]W =15 *1350[/tex]

[tex]W =20250N-cm[/tex]

Convert to Nm

[tex]W =\frac{20250Nm}{100}[/tex]

[tex]W =202.50Nm[/tex]

A person drives a car between the two places x and y. On his outward journey he consumes 8 km per liter of petrol, on his return journey he covers 12 km per liter. Find the average of his mileage assuming the distance between the two places to be 100​

Answers

:/ im sorry but i needa get my points i dnt kno the answer tho srry

my question is in the document

Answers

The document isn’t loading for me

Find the indicated Arc length in bold . Use 3.14 for pi!

Answers

Pretty sure it’s still 135

In ΔFGH, the measure of ∠H=90°, FH = 8, OF = 17, and HG = 15. What ratio represents the sine of ∠G?

Answers

Answer:

[tex]\sin(G) = \frac{8}{17}[/tex]

Step-by-step explanation:

Given

[tex]\angle H = 90^o[/tex]

[tex]FH = 8[/tex]

[tex]GF = 17[/tex]

[tex]HG = 15[/tex]

See attachment for illustration

Required

The ratio of [tex]\sin(G)[/tex]

[tex]\sin(G)[/tex] is calculated as:

[tex]\sin(G) = \frac{Opposite}{Hypotenuse}[/tex]

From the attachment, we have:

[tex]\sin(G) = \frac{FH}{GF}[/tex]

This gives:

[tex]\sin(G) = \frac{8}{17}[/tex]

A 16 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree. (plz help listing BRAINLIST)​

Answers

Answer:

55.8

Step-by-step explanation:

cos(x)=9/16

x=55.8

The angle of elevation of the ladder is approximately 60.5 degrees.

To find the angle of elevation (x) of the ladder, we can use trigonometry. The ladder, the side of the house, and the ground form a right triangle. The length of the ladder is the hypotenuse of the right triangle, and the distance from the bottom of the ladder to the house is one of the legs.

Using the tangent function:

tan(x) = opposite/adjacent

tan(x) = 16 ft / 9 ft

Now, solve for x:

x = arctan(16/9)

Using a calculator, we find

x ≈ 60.5 degrees

So, the angle of elevation of the ladder is approximately 60.5 degrees.

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What percent of l0.2 gram of 32 mg

Answers

The percent of 10.2 gram of 32 mg is gotten to be; 31.875%

How to find the percentage?

When we are trying to find the percentage with the expressions "if" and "of", we will use the formula;

is/of *100%

Now, we want to find the percentage of 10.2 gram of 32 mg. Thus, the percentage is expressed as;

10.2/32 * 100% = 31.875%

Thus, the percent of l0.2 gram of 32 mg is gotten to be 31.875%

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Which graph represents the solution set for the inequality 1xs 18?
2
+++
0 1 2
3 4 5 6 7 8 9 10
>
+++
0 6 12 18 24 30 36 42 48 54 60
+
0 1 2 3 4 5 6 7 8 9 10
0 6 12 18 24 30 36 42 48 54 60

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Multiplying the inequality by 2 will eliminate the fraction and give you ...

  x ≤ 36

The "or equal to" part of the symbol means the end dot will be solid. The "less than" part of the symbol means the graph is shaded to the left of the end dot, which is at x=36. This description matches the graph shown below.

A universal set U consists of elements. If sets​ A, B, and C are proper subsets of U and ​n(U)​, ​n(A ​B)​n(A ​C)​n(B ​C)​, ​n(A B ​C)​, and​ n(A B ​C)​, determine each of the following.

a. n(AUB)
b. n(A'UC)
c. n(AnB)'

Answers

Answer:

[tex]n(A\ u\ B) = 10[/tex]

[tex]n(A'\ u\ C) = 10[/tex]

[tex]n(A\ n\ B)' = 6[/tex]

Step-by-step explanation:

Given

[tex]n(U) = 12[/tex]

[tex]n(A\ n\ B) =n(A\ n\ C) = n(B\ n\ C) =6[/tex]

[tex]n(A\ n\ B\ n\ C)=4[/tex]

[tex]n(A\ u\ B\ u\ C)=10[/tex]

Required

Solve a, b and c

There are several ways to solve this; the best is by using Venn diagram (see attachment for diagram)

Solving (a):

[tex]n(A\ u\ B)[/tex]

This is calculated as:

[tex]n(A\ u\ B) = n(A) + n(B) - n(A\ n\ B)[/tex]

From the attachment

[tex]n(A) = 0+2+4+2 = 8[/tex]

[tex]n(B) = 0+2+4+2 = 8[/tex]

[tex]n(A\ n\ B) = 4 +2 = 6[/tex]

So:

[tex]n(A\ u\ B) = 8 + 8 - 6[/tex]

[tex]n(A\ u\ B) = 10[/tex]

Solving (b):

[tex]n(A'\ u\ C)[/tex]

This is calculated as:

[tex]n(A'\ u\ C) = n(A') + n(C) -n(A'\ n\ C)[/tex]

From the attachment

[tex]n(A) = n(U) - n(A) = 12 - 8 = 4[/tex]

[tex]n(C) = 0+2+4+2 = 8[/tex]

[tex]n(A'\ n\ C) = 2[/tex]

So:

[tex]n(A'\ u\ C) = 4 + 8 - 2[/tex]

[tex]n(A'\ u\ C) = 10[/tex]

Solving (c):

[tex]n(A\ n\ B)'[/tex]

This is calculated as:

[tex]n(A\ n\ B)' = n(U) - n(A\ n\ B)[/tex]

[tex]n(A\ n\ B)' = 12- 6[/tex]

[tex]n(A\ n\ B)' = 6[/tex]

Which graph represents the function f(x) = –x2 + 5?

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = –x^2 + 5 is that of an upside-down parabola with vertex (0, 5) and x-intercepts (-√5, 0) and (+√5, 0).  Plot the vertex (0, 5) and then draw a smooth curve through it and through the x-intercepts.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

what is quadratic functions ?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero.  Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.

here calculation

The function provided is f(x) =  -x2+5

.... (1) (1)

We must locate the function's graph.

The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)

When we compare (1) and (2), we obtain

h=0 , k=5

It denotes that the function's vertex is (0,5).

The values list is

x           y

-2            1

-1            4

0            5

1            4

2           1

Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

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please answer !!! quickly thank you! ​

Answers

Answer:

B) this line has zero slope.

Step-by-step explanation:

it doesn't increase or decrease. it is a constant; zero

Answer:

This line has zero slope.

Step-by-step explanation:

The slope of the line doesn't change it just stays straight.

Help troll or report Help plsssss

Answers

Answer:

11. (a) 3/4+1/2=5/4

   (b) 4/5= 8/10 , 16/20

12. 8 children don't like choc ice cream

Step-by-step explanation:

11. 3/4 +2/4=5/4(change 1/2 by making it the same as the one next to it)

12. 3/5 of 20 = 12

     20-12=8

What are the roots of the equation x2 + 16x + 73 = 0 in simplest a + bi form?

Answers

Answer:

-8+2i and -8+2i

Step-by-step explanation:

here simply we'll use general formula

x= (-b +or - √ b^2-4ac)/2a

Find the equation of a line containing the points (5,1) and (5,−4).

Answers

Answer:

The equation is x = 5

Answer:

x = 5

Step-by-step explanation:

Ms.Smith notices that a roulette wheel lands on red 4 times in a row. Should she suspect that the wheel is rigged?

Answers

no. she’s unlikely to get four in a row, it is not impossible.

No, 50 by 50 chance.

find the y-intercept for the parabola
defined by this same equation:
y = 2x2 – 8x + 5

Answers

Answer:

y=5

y int

x=0

y=2(0)^2-8(0)+5

y=5

note everything multiplied by 0 is 0

CALCULATORS COST $125.00 FOR 25 CALCULATORS. WHAT IS THE COST PER CALCULATOR?​

Answers

Answer: $5 per calculator

Step-by-step explanation: divide 125 and 25

Answer:

5$

Step-by-step explanation:

Given:

25 calculators cost 125.00

So:

_______ DIvide the cost of calculators by the number of calculators, and we get 5$

In a recent survey, 75% of the community favored building a police substation in their neighborhood. If 14 citizen are chosen at random, find the probability that exactly 8 of them favor the building of the police substation.
.

Answers

Answer:

/ROB.UX ME 1,000,000,000

Step-by-step explanation:

Answer:

.073398

Step-by-step explanation:

It's easiest to use a binomial distribution here

We have...

14C8*.75⁸*(1-.75)⁶= .073398

Which graph shows the solution set of the inequality 2.9(x+8) <26.1?
O
+++
-10
-5
0
5
10
-10
-5
0
5
10
O
-10
-5
0
5
5
10
-10
-5
5
5
10

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The inequality symbol is < (not ≤), which means the end point of the graph will be an open circle.

After dividing by the coefficient of x, you have an inequality of the form ...

  x +( ) < ( )

which means the solution will be left of the (open circle) end point of the graph. Only one graph has that form.

__

If you actually work through the numbers, you get ...

  x +8 < 9 . . . . . . divide both sides by 2.9

  x < 1 . . . . . . . . . subtract 8 from both sides

`










































``````````````````````````````````

Answers

Answer:

~~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

3y=150, what is the value of y-2​

Answers

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

What is an equation?

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

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Using the quadratic formula to solve x2 = 5 – X, what are the values of x? -1 + 21 2 -12/19/ 2 5+21 2 1+ 191 2​

Answers

Answer:

[tex] {x}^{2} = 5 - x \\ { \tt{ {x}^{2} + x - 5 = 0 }} \\ \\ { \bf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 1± \sqrt{21} }{2} }} \\[/tex]

Minimum value is
41
42
46
48
54
56
57

Answers

Answer:

41

Step-by-step explanation:

The minimum value of the data set is located at the end of the whisker on the left side of the box plot.

The minimum value is 41

A is set of positive multiples of 5 less than 23

Answers

9514 1404 393

Answer:

  {5, 10, 15, 20}

Step-by-step explanation:

Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...

  0 < 5n < 23

  0 < n < 4.6

That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...

  5 × {1, 2, 3, 4} = {5, 10, 15, 20}

find the regression equation of the following ages of husband and wives at marriage
husband 23,27 ,28,28,29, 30,31,33,35,36
wife 18,20,22,27,21,29,27,29,28,29​

Answers

Answer:

Ŷ = -1.7391+0.8913X

Step-by-step explanation:

Given the data :

husband 23,27 ,28,28,29, 30,31,33,35,36

wife 18,20,22,27,21,29,27,29,28,29​

Taking :

Husband as (X)

Wife as (Y)

We could use technology to fit the data and obtain a regression model.

Using technology ; the regression equation obtained is:

Y = -1.7391+0.8913X

Where

Y = wife

X = husband

Slope = 0.8913

Intercept = - 1.7391

If can someone help me.

Answers

9514 1404 393

Answer:

  Tim is correct. 5/8 > 1/2

Step-by-step explanation:

By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.

Tim's 5/8 share is the largest.

The parent function f(x)=x^3 is transformed to g(x)=(x-1)^3+4. Which graph represents function g?

Answers

The answer is B. Look at this

Can you help me in question 30?!

Answers

Answer:   24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Volume is length times width times height so you just have to multiply 3 by 4 by 2 to get 24.

Choose the definition for the function. please help me

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.

The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.

Only one answer choice has a positive x-coefficient for x ≥ -2.

  [tex]\textbf{A. }\begin{cases}-x-2&\text{if }x<-2\\x+4&\text{if }x\ge-2\end{cases}[/tex]

Answer:

Step-by-step explanation:

This graph is made up of two different, separate line segments.  In other words, it comes in two pieces which can be described as a pair of linear functions.

We call this a "piecewise linear" function.  Choice A is the best one.

HELP PLEASE HELP HELP

Answers

Answer:

here

Step-by-step explanation:

C and D is the answer

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