A cylinderical container of height 28cm and diameter 18cm is filled with water. The water is then poured into another container with a rectangular base 27cm and width 11cm. Calculate the depth of the water in the container ( take π=22/7)

Answers

Answer 1

Answer:

h = 24 cm

Step-by-step explanation:

volume of water in the cylinder = volume of water in the rectangular base container

But ,

volume of cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where:  is the radius and h is the height.

volume of cuboid = length x width x height

                             = l x w x h

So that;

[tex]\pi[/tex][tex]r^{2}[/tex]h = l x w x h

But, r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 cm, height of cylinder = 28 cm, length = 27 cm, width = 11 cm, [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex].

Thus,

[tex]\frac{22}{7}[/tex] x [tex](9)^{2}[/tex] x 28 = 27 x 11 x h

[tex]\frac{22}{7}[/tex] x 81 x 28 = 27 x 11 x h

7128 = 297h

h = [tex]\frac{7128}{297}[/tex]

  = 24

h = 24 cm

The depth of the water in the container is 24 cm.  


Related Questions

100 grams = ____________ounces *

Answers

Answer:

3.52

Step-by-step explanation:

3.5274 to be exact

With this diagram, what could be the values of q and r ?



=147
q
=
14
7
, =−2.05
r
=
-
2.05



=0
q
=
0
, =−204
r
=
-
20
4



=3
q
=
3
, =−65
r
=
-
6
5



=−23
q
=
-
2
3
, =8

Answers

Answer:

the third one i belive so

Step-by-step explanation:

it makes more scence

If 2 gallons of paint are needed to paint 3,000
square feet of wall, how many gallons are
needed to paint 15,000 square feet of wall?

Answers

Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

What is the slope of this line

Answers

Answer:

the slope is 1.

Step-by-step explanation: This answer is correct, because the rise over run was 2/2 which equals 1.

Carrie has 0.74 liters of juice in her pitcher. Sanji's pitcher has 2 times as much juice as Carrie's pitcher. Lee's pitcher has 4 times as much juice as Carrie's pitcher. Sanji and Lee pour all their juice into a large bowl.

How much juice is in the bowl?

Answers

Answer:

4.38 liter

Step-by-step explanation:

Find m k
Help please

Answers

Answer:

hope this helps, happy learning :).

Please helppp

Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)

No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?

Answers

Answer:

tacos are not for bekfast

Step-by-step explanation:

Answer:

The answer is yes, this is a translation that doesn't change the preimage size.

Step-by-step explanation:

I just took the lesson check and it says it was right.

he table shows the height of water in a pool as it is being filled.

A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?

Answers

Answer:

8, 12, 16, 20, 24

Step-by-step explanation:

Answer:

8 12 16 20 24

Step-by-step explanation:

I took the test.

plz i really need help and good morning

Answers

Answer:

no

Step-by-step explanation:

211 x 6 = 1266

if you were to round this answer to the hundreds place, it should be 1,300

The binomial expansion of (x^2+y)^2 is

A. x^4+2x^2y+y^2
B. x^2+2x^2y+y^2
C. x^4+2x^3y+x^2y^2
D. x^2+2xy+y^2

Answers

Answer: It’s A

Step-by-step explanation:

x4 + 2x2y + y2

Pls help ASAP for Brianlest

Answers

Answer:

-2, -1

Step-by-step explanation:

Answer:

(-1 , -2)

Explanation:

Chose all possible zeros of the polynomial of h(x)=5x3 - 5x - 10x.

Answers

Answer:

The possible zeros/roots of the polynomial are

[tex]x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}[/tex]

Step-by-step explanation:

[tex]h(x)=5x^3 - 5x - 10x[/tex]

[tex]h(x)=5x^3 -15x[/tex]

[tex]h(x)=5x(x^2 -3)[/tex]

When [tex]y= 0[/tex]

[tex]0=5x(x^2 -3)[/tex]

[tex]5x = 0 \implies x = 0[/tex]

[tex]x^2 - 3 = 0 \implies x=\pm\sqrt{3}[/tex]

Can someone please help me!!

Answers

X=14 in
Y=71 degrees
Z=18 in

1/8 times what equals 16/8

Answers

Answer:

16

Step-by-step explanation:

let x be the unknown

1/8x =16/8

1/8x =2

x=8×2

x=16

The value of 1/8 times equals 16/8 will be 16.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 1/8 times, what equals 16/8. Let x be the unknown. Let the unknown number be x. The value of x will be calculated as below:-

1/8x =16/8

1/8x =2

x=8×2

x=16

Therefore, the value of 1/8 times equals 16/8 will be 16.

To know more about an expression follow

https://brainly.com/question/15463878

#SPJ2

What is the range of the following list of ordered pairs?
(-3,-1), (0, -2), (4,3), (1,5)

Answers

Answer:

The range is 8.

Step-by-step explanation:

5-(-3)=8

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 7

Step-by-step explanation:

180 - 141 = 39

39 + 17 = 56

8x = 56

56/8 = 7

x = 7

what is 1/2 divided by 5/6

pls hurry I need help

Answers

Answer:

3/5 would be the answer.

its that or 0.6

well then there you go. if its wrong, my apologies

What is the most precise
name for a quadrilateral with
vertices (-1, 4), (3, 7), (6, 3),
and (2, 0)?
a) Kite
b) Parallelogram
c) Rectangle
d) Rhombus
e) Square

Answers

it is d i would include a visual picture but i’m lazy lol

Thanks a lot guys u got me a 30%

Answers

Answer:

omg were u taking a test lol

Step-by-step explanation:

Let x and y be functions of time t such that the sum of x and twice y is constant. Which of the following equations describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time?

Answers

9514 1404 393

Answer:

  b)  dx/dt = -2dy/dt

Step-by-step explanation:

We are given that ...

  x(t) +2y(t) = k

for some functions x(t) and y(t) and some constant k.

Differentiating with respect to time gives ...

  x'(t) +2y'(t) = 0

  x'(t) = -2y'(t) . . . . . subtract the y term

In the form used in the answer choices:

  dx/dt = -2dy/dt . . . . . matches choice B

trick question my fellow brainleirs so how many times can you subtract ten out of 100 now dont cheat answer it and then look at the correct answer

Answers

Answer:

You can subtract to out of 100- 100 times

Step-by-step explanation:

because there only 100 tens in 100

Which table shows a proportional relationship between x and y?


x 2 3 5 6
y 3 4 7 9

x 1 5 8 10
y 15 75 120 150

x 4 6 8 10
y 6 8 10 12

x 3 9 10 15
y 1 3 4 5

Can someone help i suck at math

Answers

Answer:

Table 3

Step-by-step explanation:

In a proportional relationship there must be a constant rate of change.

The first table:

6-5 / 9-7 = 1/2

5-3 / 7-4 = 2/3

These are not equal so it is not proportional.

The second table:

10-8 / 150-120 =2/30

8-5 / 120-75 = 3/45

These are not equal so it is not proportional

The third table:

10-8 / 12-10 =2/2 = 1

8-6 / 10-8 =2/2 = 1

These are equal so this table is proportional.

The snooker hall has given you a $40 prize for your 147 break. You decide to share it with your friend in the ratio 3:1. How much will you give your friend?

A) $10
B) $11
C) $9
If anyone does this u will get 70 points so please help me

Answers

Answer:

it would be A

explanation: if you get $40 dollars and divide it by 4 (which would be equal to giving to 4 people) and then take 3 fourths of it your friend would be left with $10

Answer:

A - 10

Step-by-step explanation:

pythagorean theorem level two deltamath. help asap!!

Answers

Answer:

65

Step-by-step explanation:

Just use the Pythagorean theorem.

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]33^2 + 56^2 = c^2\\1089 + 3136 = c^2\\4225 = c^2\\c = \sqrt{4225} \\c= 65[/tex]

Answer:

Third side is 65

Step-by-step explanation:

FORMULA

a^2 + b^2 = c^2

PLUG IT IN

33^2 + 56^2 = c^2

33 and 56 are the legs of the triangle so they go into the A and B variable.

The legs make up the right angle.

C is the hypotenuse, and here it is the diagonal line in that image.

FIND THE NUMBERS SQUARED

1089 + 3136 = c^2

ADD THEM TOGETHER

4225 = c^2

SQUARE ROOT BOTH SIDES

[tex]\sqrt{4225}[/tex] = ([tex]\sqrt{C}[/tex])^2

65 = c

CHECK

33^2 + 56^2=65^2

1089 + 3136 = 4225

4225 = 4225

Andre has a $73 in his bank account and writes a check for $86. After the check has been cashed, what will the bank balance show?

Answers

Answer:

If he wrote the check, then I assume he gave it to someone else to cash in. If that is the case, his bank account balance is -$13. If he got a check for $86 and cashed it in, then he has $159 in his bank account.

Step-by-step explanation:

Elle placed a bucket under a leaky roof. The bucket was 310 full after 25 of an hour. How much water is leaking per hour?

Answers

Answer:

3/4 bucket

Step-by-step explanation:

Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour

Water leaking : time taken

Let x = amount of water leaking per hour

3/10 : 2/5 = x : 1

3/10 ÷ 2/5 = x / 1

3/10 × 5/2 = x / 1

15 / 20 = x / 1

Cross product

15 * 1 = 20 * x

15 = 20x

x = 15/20

= 3/4

3/4 bucket of water is leaking per hour

Evaluate 5|7-9|-2. i dont get it

Answers

ur answer will probably be -12... i’m not sure tho !

Test Prep A hippo weighed 120 ton when it was born. When the hippo turned 10 years old, it weighed 112 tons. Which expression shows the number of tons the hippo’s weight increased between its birth and its tenth birthday?

A. 120−112

B. 112−120

C. 120+112

D. 112×120

Answers

Answer:

A. 120-112

Step-by-step explanation:

(-4,9),(6,4) in point slope form

Answers

Answer: [tex]y-4=-\frac{1}{2} (x-6)[/tex]

Step-by-step explanation:

The point-slope form is y-y₁=m(x-x₁). y₁ and x₁ are from a point, and m is slope.

To find slope, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{4-9}{6-(-4)}=\frac{-5}{10}=-\frac{1}{2}[/tex]

Now that we have the slope, we can fill in our point-slope form equation.

[tex]y-4=-\frac{1}{2} (x-6)[/tex]

2 1/2 hours= how many minutes

Answers

150 minutes duhhhhhhh

Answer:

150 minutes

Step-by-step explanation:

2 hours

1 hour = 60 mins

60 + 60 = (120)

1/2 an hour = 30 mins

120 + 30 = 150

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