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

can someone help me please serious people only ​

Answers

Answer:

Don't let people bring you down you got this

Step-by-step explanation:

If you have 5000 per 125 mcg and need 7140 how many mcg do you need?

Answers

Answer:

178.5mcg

Step-by-step explanation:

If you need 5000 per 125mcg, we can express it as;

5000 = 125mcg

To get the amount of mcg needed for 7140, we will say;

7140 = x mcg

Divide both expression

5000/7140 = 125/x

Cross multiply

5000x x= 7140 * 125

5000x = 892,500

x = 892,500/5000

x = 178.5

Hence the amount og mcg needed is 178.5mcg

how are angles of an equilateral triangle related?

Answers

All are 60 degrees because of equal lengths and equal angles
Since 180 ° in triangle means 180/3 =60

Hope this helps!

Answer:

If the triangle is equilateral, then the triangle is also equiangular.

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

11,60,62

Hope this helps

what isn’t your the first time in the year you have a baby shower

Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
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type did she sell?​

Answers

Answer:

$267.7

Step-by-step explanation:

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What is
[tex] 6 \frac{1}{3} \div \frac{1}{6} [/tex]
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options:

A. 6

B. 9

C. 12

D. 19

E. 38​

Answers

Answer:

The answer is E, 38.

Step-by-step explanation:

6×1/3 can be written as 19/3.

Use the reciprocal of 1/6, which is 6, and multiply 19/3 and 6.

6 and 3 can be simplified with 2.

So: 19 × 2, which is 38.

Step-by-step explanation:

please it my steps to work on paper whorksheet

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Answers

Answer: #66.92

Step-by-step explanation:

Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:

= #0.07 × 956 kWh

= #66.92

Find the range of the data set represented by this box plot.
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Answers

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Step-by-step explanation:

"18 less than the quotient of a number and -5 is at most -2"

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

because of the rain cloud is problye going to rain.

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Answers

Answer: i don't really know this but i think it´s (3,4)

Step-by-step explanation:

Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:

A)

3

B)

1

C)

4

D)

2

Answers

Answer:

B

Step-by-step explanation:

(a+b)^2

using Pascal triangle

1 1

1 2 1

1 3 3 1

so the third term in the expansion of (a+b)^2

we use

1 2 1

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Answers

Answer:

Expression: 2 - (-15)

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Step-by-step explanation:

2 - (-15)

2 + 15

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Answers

Answer:

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Step-by-step explanation:

Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...

Answers

Well, I hope that kinda helps

Answer:

25.734

Step of explanation:

tanjent =opposite/adjacent

cosine =adjacent /hypotenuse

sine =opposite /hypotenuse

this use tangent because the opposite number is there and we want to find adjacent

so t =opposite /adjacent

tan25 °=12/ a

a=12/tan25

=25.734


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Answers

Answer:

x = c/(A + b)

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

Ax + bx = c

Step 1: Solve for x

Factor:                    x(A + b) = cIsolate x:                 x = c/(A + b)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

90°

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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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:

2 of 6
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Answers

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1 baby now so gummie kiss

Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?

Answers

Answer:

1) The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Please find attached the required graph of the two inequalities ,created with Microsoft Excel

2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread

Step-by-step explanation:

1) The maximum number of loaves Larissa plans to make = 10

The price at which she sells each of x loaves of banana bread = $1.25

The price at which she sells each of y loaves of nut bread = $1.50

The total amount she hopes to make = $24

The system of inequalities are;

x × 1.25 + y × 1.5 ≥ 24

x + y ≤ 10

Making y the subject of both inequalities gives;

For the first inequality, we have,

y ≥ 24/1.5 - 1.25/1.5·x which gives;

y ≥ 16 - 5/6·x

For the second inequality, we have,

y ≤ 10 - x

Please find attached the required graph of the two inequalities

2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.

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Answers

Step-by-step explanation:

The sum of all angles in a triangle is always 180.

So we can set up an equation

3/2x+1/2x+x= 180

3/2+1/2x+2/2x=180

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Rearrange and simplify.

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Answers

I think the answer is the last one

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Answers

Answer:

1 inch

Step-by-step explanation:

[tex]r = \bigg(\frac{3V}{ \pi \: h} \bigg)^{ \frac{1}{2} } \\ \\ plug \: V = 5 \: and \: h \: = 4 \\ \\ r = \bigg(\frac{3 \times 5}{ 3.14 \times 4} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(\frac{15}{12.56} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(\frac{1500}{1256} \bigg)^{ \frac{1}{2} } \\ \\r = \bigg(1.19426752 \bigg)^{ \frac{1}{2} } \\ \\r = 1.09282547 \\ \\ r \approx 1 \: in[/tex]

I inch I think but I could be wrong

Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $

pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$71.44

Step-by-step explanation:

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