A water bottle in the shape of a cylinder holds 1 litre of water when it's full. It's height is 15cm. Work out the radius of the water bottle (1litre=1000cm3)

Answers

Answer 1

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]

The height of the water is [tex]h=15\ cm[/tex]

The volume of the cylinder is [tex]\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]


Related Questions

At a certain middle school, there are 200 5th graders, 220 6th graders, 180 7th graders, and 150 8th graders. The Dean of Students chooses a scholar at random to help run Community Circle. What is the probability that a 7th grader is chosen?

Answers

Answer:

6/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that a 7th grader is chosen = total number of 7th graders / total number of students

total number of 7th graders = 180

total number of students = 200 + 220 + 180 + 150 = 750

180 / 750

To transform to the simplest form. divide both the numerator and the denominator by 30

6 / 25

Part A: What is the length of NK? Show your work

Answers

Answer:

the length of NK in the diagram above = 5.9

Answer:

Step-by-step explanation:

The volume of this figure is...

Answers

Answer:

27 in

Step-by-step explanation:

8 in+3 in+6 in+ 5 in+ 5in=27 in

If each edge of this rectangular prism is doubled, how will it affect the volume of the prism?
A. The new volume will be 2 times the original volume.
B. The new volume will be 4 times the original volume.
C. The new volume will be 6 times the original volume.
D. The new volume will be 8 times the original volume.

PLEASE HELP ASAP ILL GIEV BRAINLIEST

Answers

Answer:

D. 8 times

Step-by-step explanation:

lmk if its right bc im not too confident </33

D. The new volume will be 8 times the original volume.

The measurements of the rectangular prism are 5m ( length ), 3m ( width ), and 2m ( height ). To find the volume of the rectangular prism, you have to multiply the length, width, and height altogether. That gives you ( 5*3*2= ) 30 cubic meters. However, if the measurements were doubled for each edge, the new measurements would be ( 5*2= ) 10m ( new length ), ( 3*2= ) 6m ( new width ), and ( 2*2= ) 4m ( new height ). Multiplying those new measurements together would get you the volume of ( 10*6*4= ) 240 cubic meters. Now, in order to find out how it affects the volume of the prism, you divide 240 cubic meters by 30 cubic meters and get 8. Therefore, the answer will be D. The new volume will be 8 times the original volume.  

PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.

Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.

Answers

Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.

Five minutes is what percent of
an hour?

Answers

0.083 In decimal 8.3% in percentage

PLS HELP! YOU WILL GET A GOOD DEED:*

Answers

Answer:

History test

Step-by-step explanation:

28 divided by 40 is 0.7 which equals 70 percent.

39 divided by 60 is 65 percent .

Answer:

Phil did better on his History test.

Step-by-step explanation:

In the history test, he scored a 28/40. There are many ways to do this, but here is my way. Convert this to decimal to make comparison easy.

28/40 = 0.7

In the Geography test, he scored 39/60. Convert this to decimal as well.

39/60 = 0.65.

Since 0.7 > 0.65, Phil did better on his history test.

What is the length of a diagonal of a cube with a side length of 3 cm? O 18 cm 0 27 cm 182 cm OW38 cm​

Answers

Answer:

18 cm

Step-by-step explanation:

please mark this answer as brainliest

Answer:

18 cm

Step-by-step explanation:

The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3.

Given: side x = 3 cm

Use the diagonal formula,

Diagonal of cube = 3–√x

Diagonal of cube = 3–√ × 3

We know that the value of √3 is 1.734

Therefore, the diagonal of a cube  = 1.734 (3)

Diagonal of cube = 5.20 cm

PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!

Answers

Answer:b

Step-by-step explanation:

PLEASE HELP RIGHT NOW ASAP I WILL GIVE BRAINLIEST IF CORRECT PLEASE HELP

Answers

1. (-15)^4bc^4 2. (4/9)^11 3. 1/4^4 4. 1/343

Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi

Answers

Answer:

V = 9.33 π m³

Step-by-step explanation:

Given: The cone is 7 inches tall and has a diameter of 2

To find: How many cubic inches the cone can hold

Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area

(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:

volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.

In terms of pi V = 9.33 π m³

Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)

Answers

Answer:

first

2nd

_______________

What is the slope of a line that is parallel to the graph of 4x+2y=4

Answers

Answer:

The slope of a line that is parallel to the graph of 4x+2y=4 is -2

-2 would be your answer

Lin created a design in his scrapbook by cutting square sheets of paper along the diagonal, as shown. Which equation can be used to determine the area of one triangle?

Answers

Answer:

the answer is A=(8)(8)/2

Step-by-step explanation:

The winner of a raffle will receive a​ 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 ​tickets, what are the odds against your winning the​ boat?

Answers

Answer:

You have a 0.8% chance of winning, and a 99.2% chance of losing

Find the area. 7 in. 5 in. 12 in. ​

Answers

Answer:

I believe its 47.5

Hope this helps!

Answer:

142.5

Step-by-step explanation:

1/2×5×(7+12)=142.5

How many degrees are in 3/4 of full turn

Answers

Answer:

270

Step-by-step explanation:

3/4x360

you dont have to show work

Answers

Answer:

B

Step-by-step explanation:

330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport

Answers

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66

The multiples of 4 have an even number in the tens place.What values do they have in the ones place? With multiples of 4 that are larger than 100?

Answers

Answer:

0 , 4 , 8

Step-by-step explanation:

Multiples of 4 = 12,16,18,20, 24, 28.............100, 104, 108, 112, 116,120, 124, 128

Numbers that have even no. in tens = 20, 24 , 28 ... 100, 104, 108, 120 , 124, 128

As evident, all these numbers (including those > 100) have 0, 4, 8 as one's place numbers.

Use the rectangle FOUR to find the value of x.
in FU = 38, RQ = 2x + 9.​

Answers

Answer:

x = 5

Explanation:

2x + 9 = 19

2x = 10

x = 5

Applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

Diagonals of a RectangleThe diagonals of a rectangle are of equal length.The diagonals of a rectangle bisects each other into two equal halves.FU and RO are diagonals of rectangle FOUR.

Therefore:

2(RQ) = FU

Substitute

2(2x + 9) = 38

4x + 18 = 38

4x = 38 - 18

4x = 20

x = 5

Thus, applying the properties of the diagonal of a rectangle, the value of x is determined as: 5.

Learn more about diagonals of a rectangle on:

https://brainly.com/question/12925544

What’s 1+1 ?

A: 2
B: 69
C: 420
D: 3

Answers

Answer:

The answer to 1 + 1 is equal to 2.

Which of the following is a trinomial with a constant term?

A. x - y + 3
B. y + x ^ 3
C. x ^ 7
D. x ^ 3 + 12x ^ 2 + x
E. x + 7y
F.y ^ 2 + 12

Answers

Answer:

A) x - y + 3

Step-by-step explanation:

A trinomial is a polynomial with 3 terms, and a constant term always stays constant (for example an integer). A seems to work best.

ayo can yall help me plzzz

Answers

Answer:

D

Step-by-step explanation:

because there is no green

Answer:

D. Impossible

Step-by-step explanation:

There are no green folders so he can't pick a green one.

:)

Please help. Will give brainliest.

Answers

Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units


Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?

Answers

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.

Answers

The answer is 2, either Richard wins or Kelly wins

pls help bro plsss pls pls

Answers

Answer:

A 13.7>13.07

Step-by-step explanation:

13.7. I hope this helps and is correct!

The length of a rectangle is 7 cm longer than its width.

The area of the rectangle is 120 cm².

What is the width of the rectangle?

Enter your answer in the box.

Answers

Answer:

the width is 8cm

Step-by-step explanation:

8x15=120

8(width)+7cm=15(length)

brainliest pls

URGENT PLEASE convert y = -5/6x -9 to standard slope form

Answers

Answer:

6y + 5x = -54  

Step-by-step explanation:

y = m x + b -> slope-intercept form

ax + by = c -> standard form

[tex]y = - \frac{5}{6} x - 9[/tex]

6y = -5x - 54

6y + 5x = -54  

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