b) The adjoining cylindrical vessel is 70 CM high and the radius
of its base is 35cm. If it contains some water up to the height
of 20 cm, how much water is required to fill the vessel
completely​

Answers

Answer 1
Answer:

[tex]\large\boxed{\pink{\sf \leadsto The \ Volume \ of \ water \ needed \ to \ be \ filled \ is \ 192,500 cm^3}}[/tex]

Step-by-step explanation:

Given that , cylindrical vessel is 70 cm high and the radius of its base is 35cm . it contains some water up to the height of 20 cm .

And we need to find the water required to fill it completely .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.4mm}\put(0,0){\line(0,1){5}} \put(3,0){\line(0,1){5}}\qbezier(0,5)(1.5,4)(3,5)\qbezier(0.001,0)(1.5,1)(3,0)\qbezier(0,5)(1.5,6)(3,5)\qbezier(0.001,0)( 1.5, - 1)(3,0)\put(3.5,2){\vector(0,-1){2}}\put(3.5,3){\vector(0,1){2}}\put(3.5,2.5){$\sf 70 cm $}\put(1.4,0){\line(1,0){1.6}} \put(1.4,0.2){$\sf 35cm$}\qbezier(0,2.5)(1.5,3.5)(3,2.5)\qbezier(0,2.5)(1.5, 1.8)(3,2.5)\put(-1,1){\vector(0,-1){1}}\put(-1,1.5){\vector(0,1){1}}\put(-1.3,1.2){$\sf 20cm $}\end{picture}[/tex]

Let us take the Volume of Cylinder be V and the volume of cylinder filled be v . Let the volume required to be filled be X .

From the figure it's clear that , Volume of water required to fill the cylindrical vessel completely will be :-

[tex]\tt:\implies v + x = V \:\: \bigg\lgroup \red{\bf As \ per \ our \ assumption }\bigg\rgroup \\\\\tt:\implies x = V - v \\\\\tt:\implies x = \pi r^2 H - \pi r^2 h \\\\\tt:\implies x = \pi r^2 ( H - h ) \\\\\tt:\implies x = \pi r^2 ( 70 cm - 20 cm ) \\\\\tt:\implies x = \dfrac{22}{7} \times (35 cm)^2 \times 50 cm \\\\\tt:\implies x = \dfrac{22\times 35 cm \times 35 cm }{7} \times 50 cm \\\\\underline{\boxed{\red{\tt \longmapsto Volume_{fill } = 192,500 cm^3}}}[/tex]

Hence the required volume of water to be filled is 192,500 cm³.


Related Questions

The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)

Answers

If $600=6 tons
$600=6*2000
$600=12,000
12000/$600=$20

It’s $20 per pound

Please help with 8 the last question

Answers

Answer:

First choice, 25

Step-by-step explanation:

200 times 1/8 = 200/8 = 25

HELP WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

y = x - 4 and y = 4x + 2

=> x - 4 = 4x + 2

=> 3x = -6

=> x = -2

y = x - 4 = (-2) - 4 = -6

The solutions are x = -2 and y = -6.

Answer:

x = -2

y = -6

Step-by-step explanation:

y = x - 4

y = 4x + 2

y = y

then:

x-4 = 4x+2

x - 4x = 4 + 2

-3x = 6

x = 6/-3

x = -2

y = x - 4

y = -2 - 4

y = -6

PLEASE HELP WILL MARL BRAINLIEST!!!!!!!!

Answers

Answer:

c

Step-by-stepexplanation:

Answer:

i believe the answer is a

i'm not sure...........

hope its right

:)

Which one do I have to chose

Answers

Answer:

The top one I think

Step-by-step explanation:

Find the value of X.....

Answers

Answer:

64

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

46      46 + 46

----- = -------------

32           x

Then 46x = 2(46)(32), and so x works out to 64.

Answer:

64

Step-by-step explanation:

Hope this helped :)

Someone deleted some of my answers even though they were correct.  I don't know why.

Krystal is comparing two internet service plans . Plan 1 costs $134.97 every 3 months. If krystal plans to stay with one service plans for 1 year, which which choose? How much will she save?

Answers

Answer: See explanation

Step-by-step explanation:

Here's the correct question:

Krystal is comparing two internet service plans. Plan 1 cost $34.99 per month. Plan 2 costs $ 134.97 every 3 months. If Krystal plans to stay with one service plan for 1 year which should she choose? how much will she save?

Cost of plan 1 per month = $34.99 per month. Therefore, the cost for the year would be:

= 12 × $34.99

= $419.88

Plan 2 cost $134.97 for 3 months. Therefore the cost for the year would be:

= 4 × $134.97

= $539.88

She would choose the first plan as it's cheapee. She would also save:

= $539.88 - $419.88

= $120

For the figure below, find the values of x and y.

Answers

Answer:

x = 40 y = 140

Step-by-step explanation:

The angles on the same side of the isoceles trapezoid are equal and the opposite sides are supplementary to the other angles.

Can someone please explain how to solve 2.7÷0.8 step by step please​

Answers

Answer: 3 and 3/8 or 27/8

Step-by-step explanation:

First step, you will need to move the decimal to the side by 1 place value.

0.8 --> 8. and 2.7--> 27.

Then just do your normal dividing.

27/8 = 3 and 3/8

The answer to 2.7÷0.8 can be either a mixed number or an improper fraction.

You have to move the decimal places to the right as many times as you need in order to make the number a while number you move the decimal place the same times as you did to the number outside the box which makes is 8 divided by 27 8 can’t go into 2 so u add a 0 and 8 can go into 27 3 times. You add a decimal point and subtract 24 from 27 u get 3 then you add a decimal point with a 0 8 can go into 30 3 times so it’s 6 add a decimal point to make it 60. Then 8 can go into 60 7 times subtract 56 from 60 and you get 4 add a decimal point and you get 40 8 can go into 40 5 times and your answer is 3.375

I added picture so u can see how it looks when you do it.

Brian completed a 100 meter race in 11.74 seconds.Luis completed the race in 11.69 seconds.What was the difference between their times expressed as a fraction of a second?

Answers

Answer:

1 / 20

Step-by-step explanation:

Brian = 11.74 seconds

Luis = 11.69 seconds

Difference between their times :

11.74 - 11.69 = 0.05

Expressed as a fraction of a second :

0.05 / 1 = (0.05 * 100) / (1 * 100) = 5 /100 = 1/20

Find the x and y intercepts of the line 2y = 4x - 5

Answers

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

The slope is 2 and the y-intercept is ( 0, -5/2 )

Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

O is the centre of the circle and ABC and EDC are rangers to the circle. Find the side of angle BCD. You must give reason in your answer. (4marks)PLZZZZZZ HELP!!

Answers

Every line from the tangent to the centre is 90°. This is said in the circle theorems.

So angle OBC and ODC are 90°.

angle O is twice the size of angle F. This is another circle theorem.

Therefore angle O is 152°.

The quadrilateral of ODBC would equal to 360°. Which means 90° + 90° + 152° = 332°

360° - 332° = 28°.

The answer is 28°

Answer:

∠BCD = 28°

Step-by-step explanation:

arc BD = 2 x inscribed angle ∠BFD = 2 x 76 = 152

arc BFE = 360 - arc BD = 360 - 152 = 208

tangent-tangent angle ∠BCD = (arc BFE - arc BD)/2 = (208 - 152)/2 = 28

How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
a.
$12.00
c.
$16.00
b.
$10.41
d.
$9.72

Answers

Answer:

$9.60

Step-by-step explanation:

The question above is a simple interest question.

The formula for the amount of money after a given period of time using simple interest is given as:

A = P(1 + rt)

Where

P = Initial Amount saved or invested = $8

R = Interest rate = 5%

t = Time in years = 4

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 8(1 + (0.05 × 4)) = 9.6

A = $9.60

The amount of money that will be in a bank account after 4 years is $9.60

Can someone please help this these

Answers

Answer:

To the first picture: it's 9

To the second: its sin3/5

Step-by-step explanation:

This would take some time to explain so I'll keep it brief

Pic 1) process of elimination through cos

Pic 2) You divide the opposite by the hypotenuse to get the degree of angle x

What is the constant of proportionality shown by the values in the table?

Answers

Answer:

Slope = 2.5

Step-by-step explanation:

Hope this helps. Pls give brainliest.

What is the additive inverse of 9x-15

Answers

Answer:

[tex]-9x+15[/tex]

Step-by-step explanation:

[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]

What is the slope of the line that passes through the points (−4,−3) and (14,0)?

Answers

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, -3)

Point (14, 0)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition:                                   [tex]m=\frac{3}{18}[/tex]Simplify:                                                   [tex]m=\frac{1}{6}[/tex]

This scatter plot and line of best fit shows the relationship between the height and the mass of 15 different dog breeds.The circled point in the scatter plot correspond to Afghan Hound.What conclusion can be drawn about the predicted mass and the actual mass of Afghan hound?

Answers

Answer:

A

Step-by-step explanation:

ANSWER ASAP PLEZ I HAVE BEEN ON THESE QUESTIONS FOREVER AND PLEASE DONT JUST TAKE THE POINTS I REALLY NEED HELPPPPPPPPPPP :(

Answers

Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}

Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.

I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.

if a+2b/3=2/c^9
what is 4/b

Answers

Answer:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Step-by-step explanation:

Given the expression

[tex]a+\frac{2b}{3}=\frac{2}{c^9}[/tex]

subtract a from both sides

[tex]a+\frac{2b}{3}-a=\frac{2}{c^9}-a[/tex]

Simplify

[tex]\frac{2b}{3}=\frac{2}{c^9}-a[/tex]

Multiply both sides by 3

[tex]\frac{3\cdot \:2b}{3}=3\cdot \frac{2}{c^9}-3a[/tex]

Simplify

[tex]2b=\frac{6}{c^9}-3a[/tex]

Divide both sides by 2

[tex]\frac{2b}{2}=\frac{\frac{6}{c^9}}{2}-\frac{3a}{2}[/tex]

Simplify

[tex]b=\frac{6-3ac^9}{2c^9}[/tex]

Calculating 4/b

[tex]\frac{4}{b}=\frac{4}{\frac{6-3ac^9}{2c^9}}[/tex]       ∵ [tex]b=\frac{6-3ac^9}{2c^9}[/tex]

[tex]\frac{4}{b}\:=\frac{4\:\times \:\:2c^9}{6-3ac^9}[/tex]

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

Therefore, we conclude that:

[tex]\frac{4}{b}=\frac{8c^9}{6-3c^9a}[/tex]

IXL- 8th grade math- W.14

Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of initial set-up time. If it takes 41 minutes to screen-print a bath of shirts, how many shirts are in the batch?

Answer with the amount of shirts.

Answers

Answer:

There are 37 shirts in the batch.

Step-by-step explanation:

Since it takes an initial 4 minutes to set up the screen-printer, we can subtract 4 from 41 minutes to get the time used to print the shirts.

41 - 4 = 37

Since each shirt requires 1 minute of screen printing and there are 37 minutes, we can divide 37 by 1.

37 / 1 = 37

So there are 37 shirts in this batch. Hope this helps.

Find all possible solutions for x such that △ABC is congruent to △DEF.

△ABC: sides length 7, 9, x
△DEF: sides length 7, 10, x − 1
The solution is x =

Answers

Answer:

how many times did you post this?

Step-by-step explanation:

1/3x-2=16 solve the equation

Answers

Answer: x= 1/54
Explained: easy mental math :p

Answer:

x=54

Step-by-step explanation:

1/3 x 54 = 18, 18 - 2 = 16

:)

Please help due in 10 minutes

Answers

2x + 46 is your answer
2x+46 should be the answer! :)

Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?


plzplz plz answer

Answers

Answer:

98,635

Step-by-step explanation:

Geometry help please explain

Answers

Answer: 11

Step-by-step explanation: SAS Postulate states that any two triangles that share the same Side, Angle, Side, are congruent. Since those two triangles share the side length of 5, and then a 90 degree right angle, and the side PM every corresponding side and angle with equal each other. Such as side MN and ML.

Which expression is equivalent to 1/3 p + 15 ?

Answers

[tex] \frac{1}{3} p + 15[/tex]

= 1/3(p + 45)

HELP ASAP PLEASE!!
solve the literal equation: 2ax+9=23 for x and show your work

Answers

Answer:

x = 7/a

Step-by-step explanation:

2ax + 9 = 23

Inverse operations

2ax + 9 = 23

       -9     -9

2ax = 14

/2        /2

ax = 7

/a    /a

x = 7/a

Derrick has a total of 9 nickels and quarters in his pocket. The total amount of money he has in coins is $1.45.

How many nickels and how many quarters does Derrick have?

Answers

Answer:

Derrick has 5 quarters and 4 nickles

Step-by-step explanation:

your welcome :D

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