If you were filling the cylinder up with water using a cone that has the same height and diameter, how many cones will it take to fill up the cylinder?

Answers

Answer 1

Answer:

It required 3 cones to fill up the cylinder with the same height and diameter.

Step-by-step explanation:

Let the radius of the cone and cylinder be r.

Let the height of the cone and cylinder be h.

As we know that  [tex]\text{Volume of cylinder}=\pi r^2h[/tex] ....(1)

[tex]\text{Volume of cone}=\frac{1}{3}\pi r^2h[/tex]

It can be observed that the volume of a cone is [tex]\frac{1}{3}[/tex]rd the volume of the cylinder. so, multiply the volume of the cone by 3.

[tex]3 \times \text{Volume of cone}=3 \times \frac{1}{3}\pi r^2h[/tex]

[tex]3 \times \text{Volume of cone}= \pi r^2h[/tex]

[tex]3 \times \text{Volume of cone}= \text{Volume of cylinder}[/tex] (From equation 1 )

Hence, It required 3 cones to fill up the cylinder with the same height and diameter.


Related Questions


Given a unit circle, what is the
value for y?
(1/3, y)
y = ?

Answers

Answer:

[tex]y=+\frac{2\sqrt{2} }{3}\\[/tex]

Step-by-step explanation:

In the unit circle we have:[tex]x^{2} +y^{2} =1[/tex]

In the picture we see that x=1/3.

Using de equation of unit circle:

[tex](\frac{1}{3} )^{2} +y^{2} =1\\\\\frac{1+9y^{2} }{9}=\frac{9}{9} \\\\y^{2} =\frac{8}{9} \\\\\sqrt{y^{2}} =\sqrt{\frac{8}{9}}\\\\y=+\frac{2\sqrt{2} }{3}[/tex]

y is positive because y are in the first quadrant of the cartesian plane.

(ii) C is the point on the line y = 2x + 1 where x = 2.
.
Find the co-ordinates of the midpoint of BC.​

Answers

Answer:

It is the average of the two x values and average of both y values

Step-by-step explanation:

Answer:

I think it is the average of the two x values and the average of both y values

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Please help this is due in 10 minutes

Answers

Answer:

the answer is 4.

put it in order from least to greatest. You can use the number line to help.!!!!!

Answers

Answer:

Its -3 -3.25 and -3.6

Step-by-step explanation:

my answer is least to greatest like how u asked

Billy is playing a game using a bag with 11 marbles inside. The bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink. Each time he picks an orange marble, she will win a prize. If he picks a marble twice, WITHOUT replacement, what is the probability he will win a prize on both picks? 5/110 5/21 3/55 9/121

Answers

Answer: 3/55

Step-by-step explanation:

From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.

If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.

Therefore, the probability he will win a prize on both picks will be:

= 3/11 × 2/10

= 6/110

= 3/55

Lexi is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide and the field is that see strong is 30 cm wide how long should the field be in drawing

Answers

Answer:

45 cm

Step-by-step explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is [tex]\dfrac{l}{w}=\dfrac{120}{80}=\dfrac{3}{2}[/tex]

Now the width of the field is 30 cm = w'

[tex]\dfrac{l'}{w'}=\dfrac{l}{w}\\\Rightarrow l'=\dfrac{l}{w}\times w'\\\Rightarrow l'=\dfrac{3}{2}\times 30\\\Rightarrow l'=45\ \text{cm}[/tex]

The length of the field in the drawing is 45 cm.

what’s the total price and tax in $

Answers

Answer:

Tax is $2.45 so after tax the total is $37.44

Step-by-step explanation:

Solve the equation.
24 - 3x = 2x - 1
Please include step-by-step explanation.

Answers

24-3x=2x-1
+3x. +3x

24=5x-1
+1. +1

25=5x

X=5
X=5

You move like terms> -3x -2x = -1 - 24
Collect like terms> -5x = - 25
Then divide both sides> -5 = -25

A football team received a 5 yard penalty. How many feet must the ball and line of scrimmage be moved back?

Answers

Answer:

5 yard but it also depends on what flag they throw

Step-by-step explanation:

5 year depending on where it is

SOMEONE PLEASE HELP I JUST NEED TO KNOW HOW TO DO IT THANK YOU!! please its due at 11:59 i need help

Answers

The answer is 3.025•10.^-9
the nine is an exponent btw.

Question 18
1 pts
If two angles form a linear pair and the measure of one of the angles is 73º, what is the
measure of the other angle?

Answers

Answer:

107

Step-by-step explanation:

180 -73 is 107 hope that helps

Answer: 107°

Step-by-step explanation:

Linear pairs are supplementary so they have to add up to 180°.

x = meas. of other angle

x + 73 = 180

Subtract both sides by 73

x = 107

The measure of the other angle is 107°.

Can anybody explain how to turn percentages to fractions or fractions to percentages, and diving and dividing decimals and studying tips thank you.

Answers

Converting fractions, decimals, and percents

When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small. All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. They're all just different ways of expressing parts of a whole.

screenshot of 1/2

In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we'll know it can also mean 50% or 0.5.

Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.

Fractions and decimals

Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.

Converting a fraction into a decimal

Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.

Step-by-step explanation:

Hope this is understood

A restaurant charges ​$6.50

for a slice of pizza that is one fourth

of a pizza and ​$4.00

for a slice that is one sixth

of a pizza. One day they cooked 4

pizzas that were all the same size. If they sell all the​ slices, would they make more money by slicing each pizza into fourths

or sixths
​?
How much​ more? Explain.

Answers

Answer:

2$

Step-by-step explanation:

which numbers are irrational?

Answers

v15 and 0.151155111555...

I need help on math ASAP!!

Answers

Answer:

what is the equation ? lmk

140 divided in the ratio 4 : 3

Answers

Answer: 35:46

Step-by-step explanation:

When 140 is divided in the ratio 4:3, the two parts are 80 and 60, respectively.

To divide 140 in the ratio 4:3, we need to split the value 140 into two parts such that the ratio of the two parts is 4:3.

The ratio 4:3 consists of two parts (4 parts and 3 parts), making a total of 7 parts.

4+3=7

Divide 140 into 7 equal parts:

To find the value of one part, we divide 140 by 7:

140 ÷ 7

= 20

Calculate the two parts using the ratio:

Now, we can find the value of the two parts based on the ratio.

4 parts = 4 × 20 = 80

3 parts = 3 × 20 = 60

Hence, when 140 is divided in the ratio 4:3, the two parts are 80 and 60, respectively.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ6

Answer all questions.


1. W x C = ?


W = 20000


C = 90000



2. 100000 x 100000000000000000 = ?





3. What is 7 divided by 24?

Answers

Answer:

1. 1800000000

2. 1e+22

3. 3.42857142857

If f(x) = 2(-3x +6), find f(4).

Answers

Answer:

-12

Step-by-step explanation:

Evaluate the following expression. Round to the nearest hundredth when necessary.

Answers

Answer:

The original answer is 26. But if rounded the answer is 30

Step-by-step explanation:

26 is four away from 30

26 is 6 away from 20

Consider this equation: {x-9-2x+2=1
Which is an equivalent equation after combining like terms?
8
O -=
-x-11=1
3
-4
-x-7=1
3
x-7
7=1
o ex-7=1
x
-x-11=1
3

Answers

Answer:

equation

Step-by-step explanation:

8

O -=

-x-11=1

3

-4

-x-7=1

3

x-7

7=1

o ex-7=1

x

-x-11=1

3

The population of a city increases by 3% per year. If this year's population is 298,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

298000:100

x         : 103

cross multiply: 100x=298000 x 103

x=306,940 or 307,000

Step-by-step explanation:

What’s something goes up but never comes down?

Money that is collecting interest in a bank account doubles in value
every 10 years.
When the account was opened, it had 16, or 24 dollars in it. After 50
years, the account balance has doubled 5 times, increasing by a factor
of 25.
It now has a balance of 24. 25. Expressed as a power, how much
money, in dollars, is in the account after 50 years?

Answers

It’s an entirely different answer whether it has 16 or 24 dollars in it, so I’ll do both

For 16 it’s 512
For 24 it’s 768

Answer:

The answer is 2 to the power of 9

Step-by-step explanation:

I got it right on ap,ex

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Step-by-step explanation:

Hey B is the correct answer as the x is negative and y is positive

Hope this helps!!!

Answer:

O t

Step-by-step explanation:

pls help me with math and give me an explanation,,,

Answers

Answer:y= -3x+7

Step-by-step explanation:

6x+2y=14

2y= -6x+14

y= ( -6x+14)/2

y= -3x+7

Step-by-step explanation:

done

.....................

Complete the following problems. It is over everything we've done the last few days. Take your time.
Make sure you insert your equation when having to write equations.
Question 3
5 pts
In 2015, 2200 students attended Polaris High School. The enrollment has been
declining 2% annually. If this trend continues, estimate how many students will be
enrolled in 2030.(Remember it is people that you have.)

Answers

Answer:

Welcome to Gboard clipboard, any text you copy will be saved here.

What is the slope of y = - 1 + 3x

Answers

Answer:

Slope m = 3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -1 + 3x

Step 2: Rewrite

Rearrange

y = 3x - 1

Step 3: Break Function

Identify parts

Slope m = 3

y-intercept b = -1

??????????????????????????????????????

Answers

Answer:

C) N=3

Step-by-step explanation:

So an undefined problem can be represented as being divided by 0

So if the denominator is 0, it Would be undefined becuase after all every fraction is a division problem and you can‘t divide by 0

Test every possible option for n in the denominator becuase we don’t need to focus on the numerator due to only finding the denominator to be 0. The imperator doesn’t effect anything if the denominator is 0, it would only effect if the denominator is anything else which leads me to that the numerator COULD be 0 but not the denominator.

So in this case n=3 is a possibl solution becuase if solved using Orders of operations (Parethesis, exponents, etc.)

3(3-3)^2

3*0^2

0^2=0

0*3=0

So the denominator is 0 so c has to be the answer

n=3

A bike price is 159$ in january 2006 each year its price depreciates by 7 percent what will be its price at the end of 2007

Answers

AnsPlayrules eteanat b.

Step-by-step expfnkel

Answer:

$137.52

Step-by-step explanation:

To solve this we have the following equation

159*(.93)^n

where n is the number of years passed

Whenver we decrease the price by 7% we are essentially multiplying it by .93 which is why this equation works

To start on January 2006 and end at the end of 2007 means about 2 years has passed

This means we can plug in 2 for n

so we have

159*(.93)^2

Put this into your calculator and get 137.52


Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB,
AC, BC

Answers

Answer:

[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

The figure shows rectangle ABCD. What is the value of x and what is the length of segment DC?

Answers

A) x = 6 and DC = 44
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