a conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base radius 10cm find the height to which the water will rise in the cylindrical vessel​
please help me

Answers

Answer 1

Answer:

[tex]2\ cm[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]

[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]

[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]


Related Questions

Which of the following expressions is equivalent to the expression given below.

12 (-31 + 26) + 45
—————————
4

3.5

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wuhh

Step-by-step explanation:

The Answer: -15
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b. Identify what you're trying to find.

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d. Read the problem carefully.

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D read problem carefully

Answer:

D

Step-by-step explanation:

You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.

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Answers

Answer:

7/8= 0.875

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Step-by-step explanation:

Answer:

.875, .35, .9, .875, 1.36, 1.25, 1.04, 1.1, .6875, .4375, .825, .575, 1.4, 1.16, .975

Step-by-step explanation:

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Answers

Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define Expression

3² + (9 - 16)(4)

Step 2: Evaluate

Exponents:                              9 + (9 - 16)(4)(Parenthesis) Subtract:           9 + (-7)(4)Multiply:                                   9 - 28Subtract:                                  -19

Answer:

Step-by-step explanation:

BODMAS=bracket

O=of

D=division

M=multiplication

A=addition

S=subtraction

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

5 snack bags and 6 juice boxes.

Step-by-step explanation:

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Answerrrr????????????,?????????

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

X<6

Step-by-step explanation:

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Answer:

-11 < x < 6

Step-by-step explanation:

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Answer:

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Answers

Answer:

180 square centimeters

Step-by-step explanation:

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i will give brainliest answer if it the correct answers ​

Answers

Answer:

1/6 sqrt(3) + 1/2

Step-by-step explanation:

(1 + sqrt(3))

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

sqrt(12)

Multiply the top and bottom by sqrt(12)

(1 + sqrt(3)) * sqrt(12)

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

sqrt(12)*sqrt(12)

sqrt(12) + sqrt(3) * sqrt(12)

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

12

Simplify

sqrt(4)sqrt(3) + 6

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

12

2 sqrt(3) +6

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

12

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Answers

Answer:

The lowest point is 9 ft below see level and the highest point is 108 ft above sea level

Step-by-step explanation:

Here, we want to select the correct option

From the question, we have the following;

The lowest point is -9 while the highest point is +108

-9 indicates that it is 9 units below zero

+108 indicates that it is 108 units above zero

So, the correct option here is that;

The lowest point is 9 ft below see level and the highest point is 108 ft above sea level

Answer:

A. The lowest point is 9 feet below sea level and the highest point is 108 above sea level

Step-by-step explanation:

have a nice day

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