A can of soup is a cylinder with diameter 7 cm.

The can is 10 cm high

The can is full of soup

soup

The soup is poured into a saucepan.

The saucepan is a cylinder with diameter 12 cm.

Work out the depth of the soup in the saucepan.

Give your answer correct to 1 decimal place.

Answers

Answer 1

Answer:

3.4 cm

Step-by-step explanation:

We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.

Cylinder volume: πr²h

r = 0.5 * diameter

volume of soup: π(3.5)²10 ≈ 384.845

volume of soup in saucepan: 384.845

For saucepan:

πr²h = π(6)²h = volume = 384.845

36πh = 384.845

divide both sides by 36π to isolate h

h ≈ 3.4 cm


Related Questions

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
merry Christmas y'all​

Answers

Answer:

(-7x + 4)(-7x - 4)

Step-by-step explanation:

When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.

Ex: (a+b)(a-b)

OR (x+2)(x-2)

OR (m-3)(m+3)

OR (2x+1)(2x-1)

OR (-5n+7)(-5n-7)

These multiplications

(–7x + 4)(–7x + 4) and

(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.

(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.

Difference of squares:

(a+b)(a-b)=

a^2 - b^2

Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?

Hurry I need this :(

Answers

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

What is 100 x (81 + 283) - 67 x 4

Answers

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she make in September?

Answers

Answer:

she earned $324 in September

Answer:

she earned 240 dollars

Step-by-step explanation:

can you please mark me as brainlyist

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)​

Answers

Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

Examples:

3x (coefficient is 3)

4t (coefficient is 4)

Review

Directions: Name the coefficient (s) in the following expressions:

1. 9s + 4t

2. 46rs + 10x

3. 18q + 14x

4. 10x + 14y

5. 17rs + 32x

6. 5x + 7y - 5z

7. 3ab + 70m

8. 3r + 20a + 10m

9. 7k + 16m

10. 7r + 5s

11. 9j + 120m

12. 12k + m

13. 6c + 15h + w

14. 2c - 19d + 12f

15. 3t + 14r - 31j

Answers

Answer:

1. 9 + 4

2. 46 + 10

3. 18 + 14

4. 10x+ 14

5. 17 + 32

6. 5 + 7- 5

7. 3 + 70

8. 3 + 20 + 10

9. 7 + 16

10. 7 + 5

11. 9 + 120

12. 12  

13. 6 + 15 +  

14. 2 - 19+ 12

15. 3 + 14 - 31

Step-by-step explanation:

How can you find approximations of square roots?​

Answers

Answer:

you can do a trial and improvement

Step-by-step explanation:

Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Orlando to Denver was ​$220 . Now the cost is ​$320 . What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

The answer is

1. 45.5% (Airline tickets)

The new price (all together) will be

2. 370.1

Step-by-step explanation:

1.);

Going by 10.

220 + 15.5% = 254.1 (Incorrect, not what were looking for)

220 + 25.5% = 276.1 (Incorrect, not what were looking for)

220 + 35.5% = 298.1 (Incorrect, not what were looking for)

220 + 45.5% = 320.1 (Correct, it's what were looking for, but it's .1 above... I hope this doesn't matter.. Right...?)

2.);

220 + 45.5% + 50 = 370.1

I hope this helped.. Have an amazing day!

(Brainliest will highly be appreciated!)

Please someone help, I want to know if I’m correct

Answers

Answer:

Yes youre correct

Step-by-step explanation:

help ASAP please PLS​

Answers

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

22 - (+12) - (-4) + (-6)​

Answers

Answer:

8

Step-by-step explanation:

+- = --- = ++- = -++ = +

22-12+4-6 = 8

22 - (+12) - (-4) + (-6) = 22 - 12 + 4 - 6 = 8

ANSWER: 8
Ok done. Thank to me :>

There are 36 boys for every 54 girls

Answers

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?​

Answers

Answer:

$14.61

Step-by-step explanation:

14.05 * 1.04 = 14.612

NEED HELP ASAP…..plz help

Answers

I’m pretty sure the answer is D. I’m sorry if I’m wrong

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

Answers

Answer:

  x = 6

  AC = 24

Step-by-step explanation:

The midpoint divides the segment into two congruent parts.

  AB = BC

  BC -AB = 0

  x^2 -24 -2x = 0

  (x -1)^2 = 25 . . . . . . add 25, write as a square

  x = 1 +√25 = 6 . . . . only the positive solution is of interest.

AC = 2(AB) = 2(2x) = 4(6) = 24

The value of X is 6, and the length of AC is 24 units.

If B is the midpoint

AB=BCx²-24=2xx²-2x-24=0x²-6x+4x-24=0(x-6)(x+4)=0x=6,-4

Distance is positive

x=6

AC

2(2x)4x4(6)24

What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution

Answers

Answer: No solution

Step-by-step explanation:

VX+12-12=x-12

VX=x-12

VX/x=x/x-12/x= X≠0

EASY QUESTION! GET EASY POINTS!

if i paid $3.50 a month, how much would i pay a year?

EASY BRAINLIEST!
yw:)

Answers

Answer:You will pay $42 yearly. Step-by-step explanation:1 Year = 12 months=> 1 month = $3.50=> 12 months = $3.50 x 12=> 12 months = $42Conclusion:

Therefore, you will pay $42 after a year.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

Answer:

42

Step-by-step explanation:

3.5*12=42

please give me the answer (click on file) ​

Answers

Answer:

x = 122

Step-by-step explanation:

Help please please please

Answers

Answer:

Step-by-step explanation:

All angles in a triangle add up to equal 180

22x+4=180

22x=176

x=8

20x=?

20(8)=160 degrees

What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?

Answers

Do polynomial like this:

-3x+3-4x = -7x +3

Final answer :

-7x+3

i just need to know if this is correct and if i need to fix anything

Answers

Answer:

its correct

Step-by-step explanation:

Enter the value of :

Answers

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

Ali sorced 66 and 72 marks respectively.For his two tests what is the lowest mark he must have sorced for his third test.If an average sorce of a least 75 is requied to qualify for a bouns prize

Answers

Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length ​

Answers

Answer: c = 6.5I

Step-by-step explanation:

C = the cost of the fabric

I = the length of the fabric

C : I = 13 : 2

C : I = 32.50 : 5

C : I = 6.5

C = 6.5I

The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]​

Answers

Step-by-step explanation:

[tex]68 - 54[/tex]

[tex]14 \div 68 \times 100[/tex]

after doing that calculation you will get the percent increase

Write a linear function f with f(-2) = 6 and f(0) = -4
f(x) =

Answers

Answer:

y = -5x - 4

Step-by-step explanation:

yeah-ya............ right?

How I can apply the distribute property to this question?

Answers

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

What is the factored form of n^3+512 (please answer) picture provided

Answers

[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

3x+12-6x less than or equal to -9

Answers

Answer:

less than, it is the answer

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