The volume of a cylinder is represented by the equation V Tarah, where V is the
volume of the cylinder, r is the radius of the base, and h is the height of the cylinder.
Solve the equation in terms of r.

Answers

Answer 1

Answer:

[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex] .....(1)

Where

r and h are the radius and the height of the cylinder.

We need to solve the equation of r. Cross multiplying both sides in equation (1).

[tex]3V=\pi r^2h[/tex]

Dividing both sides by [tex]\pi h[/tex]. So,

[tex]\dfrac{3V}{\pi h}=\dfrac{\pi r^2h}{\pi h}\\\\r^2=\dfrac{3V}{\pi h}\\\\or\\\\r=\sqrt{\dfrac{3V}{\pi h}}[/tex]

So, the radius of the cylinder is equal to [tex]\sqrt{\dfrac{3V}{\pi h}}[/tex].


Related Questions

Which equation represents a line that is perpendicular to the y-axis?
SEE PIC

Answers

Answer: c

Step-by-step explanation:

y = -8

HELP!!!!! What is the length plz help me besties

Answers

Answer: 30 inches

Step-by-step explanation:

20/8 = x/12

20(12) = 8x

240 = 8x = 30

Some other person's sales tax is $1.61. How much was their subtotal?

Answers

i tried helping but failed ☹️ your guess is as good as mine

Answer: $17

Step-by-step explanation: so 9.5% is 0.095 as a decimal and 0.095 * 17 = 1.615 so we round the 1.615 into 1.61 :)

How do I go about solving this?

Answers

Answer:

you want to bring down the numbers.. so try 3 for the second one

Step-by-step explanation:

What is the relationship between the two triangles at right? Create a flowchart to justify your conclusion. ​

Answers

Answer:

[tex]3^{2}+4^{2}=JH^{2} \\\\9+16=25=JH^{2} \\\\JH=\sqrt{25} =5\\\\[/tex]

[tex]AB^{2} +6^{2} =10^{2} =100\\\\AB^{2} =100-36=64\\\\AB=\sqrt{64}=8\\[/tex]

all three pairs of appropriate sides of a triangle are proportional, the ratio is the same.

10/5=8/4=6/3=2 so the triangles are similar

hope it helps

Can you plz help me plz

Answers

It’s C because 55 x 3 = 165 not 160 as stated in that answer.

suppose v varies directly as g, and v= 36 when g = 4. find v when g=11​

Answers

Answer:

v = 99 when g = 11

Step-by-step explanation:

Set this up as an equation

36/4 = v/11

Cross multiply

36 × 11 = 4 × v

396 = 4v

Divide both sides by 4 to isolate variable v

396 ÷ 4 = 4v ÷ 4

99 = 1v

99 = v

Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a 30% saline solution.
What is the total amount, in ounces, of salt in the combined mixture? Please help and please provide an explanation?

Answers

Answer:

12.5 or 12 1/2 (may be wrong)

Step-by-step explanation:

First I set up a formula to solve how many ounces of salt there were out of 30,      

x/30=20/100, I crossed multiplied and got 5/30, next, I set up the same formula for how many ounces of salt there were out of 25, x/25=30/100, I got 7.5, the last thing I did was add them both together leading me to the answer 12.5 or 12 1/2. Hope this helps! Please say if I am wrong.

f X ∼ B (10, 0.5 ) ( X is Binomial with n=10, p=0.5)

P(X = 9) =

(3 decimals)

X ∼ B (3, 0.5 )

P(X=1)=

(3 decimals)

X ∼ B (4, 0.5) ,

P(2 ≤ X ≤ 3) =

(3 decimals)

Answers

Answer:

r awver e

Step-by-step explanation:

w warw rwq

Suggested 35 and 1/4% of 50 is
what number?

Answers

Answer:

47.5

Step-by-step explanation:

The computation is shown below:

Given that

The recommended is 35

And one fourth of 50 should be

= 1 ÷ 4 × 50

= 12.5

So, the number is

= 35 + 12.5

= 47.5

3(12+x)=90 what does x equal

Answers

Answer:

36+x=90

90-36=x

x=54

Step-by-step explanation:

Answer:

3(12+x)=90

12+x=60

x=48

Let me know if this helps!

What would the measurement at the top be?

Answers

Hopes this helps please correct me if I am wrong:

Answer: 6cm
6cm, the reason for that is because of the invisible line that says 6cm if that line is the same length as the top; which it is, it would also be 6cm

So in conclusion the answer would be 6cm.

Hope this helps! Have a good one!❤️

a school rent a bus for 90 bucks if 72 students ride the bus what is the cost per student​

Answers

Answer:

$1.25

Step-by-step explanation:

90 / 72 = the cost per student

90 / 72 = 1.25

1.25 hope you have a good day today

The angle are supplementary find the missing angle measure
I give you brainiest if you answer correct

Answers

1st angle is 50 degrees next one 41

Answer:

12. 50

13.41

Step-by-step explanation:

To find the supplement, subtract the number from 180. For instance for 13. Do 180-139 to find the supplement.

Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line. Using complete sentences, explain to your friend how to graph the opposite of 6.2 on the number line.

Answers

Answer:

So i would ask this friend to draw a number line and label 6.2 on the number line. Then i would ask her if she knew what the opposite number of 6.2 is.

Yes- The number line will always continue, its indefinite. This means it can go forward or backwards. Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.

The complete sentences to explain to your friend how to graph the opposite of 6.2 on the number line as shown below.

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line.

Hence, The complete sentences to explain to your friend how to graph the opposite of 6.2 on the number line as;

Firstly I would ask this friend to draw a number line and label 6.2 on the number line. Then I would ask her if she knew what the opposite number of 6.2 is.

Then, Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.

Learn more about the number line visit:

brainly.com/question/28223520

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A salesman earns 3% commission for everything he sells. Yesterday, he sold a large screen television for $2,400 and a video game system for $500. How much money did the salesperson make on commission?

Answers

2400 x 0.03 = $72
500 x 0.03 = $15

Total commission = $87

Relation between an event and a second event, where the second event is understood as a consequence of the first. which one
Group of answer choices

Exponential Growth

Rate of Change

Causation

Correlation

2. The value the item has changed to. Also known as the finished value (after).
Group of answer choices

Rate of Change

New Value

Skewed Distributions

Original Value

Answers

Answer:new value

Step-by-step explanation:

Round to the nearest 10,000: 634,727

Answers

Answer:

630,000

Step-by-step explanation:

not thing y ultimately

634727

Step-by-step explanation:

2 is in the 10,000 place so the number would stay the same

Arthur is a car salesman whose salary is $2,750 a month. He also receives a 5% commission on his car sales. For the month of February, he sells $86,500 in cars. How much money did Arthur earn in commission.

Answers

Answer:

4,325.00

Step-by-step explanation:

The question doesn't care what his base salary is, it is asking how much in commission, so total sales of 86,500 X 5% commission = 4,325.00


(Need help)
If there are 150 people born in the world every minute; how
many are born every Hour? Day? Year?

Answers

Step-by-step explanation:

150 x 60 = 9,000 every hour

9000 x 24 = 216,000 every day

216000x 365 = 78,840,000 every year

Answer:

Hour: 9,000 people

Day: 216,000 people

Year: 78,840,000 people

Step-by-step explanation:

In order to solve this, you need to identify how many minutes there are in an hour, a day, and a year:

Hour: 60 minutes

Day: 60 minutes × 24 hours = 1,440 minutes

Year: 60 minutes × 24 hours × 365 days = 525,600 minutes

Now, you need to multiply each of these numbers by 150 to find how many people are born every hour, day, and year:

Hour: 60 minutes × 150 people = 9,000 people

Day: 1,440 minutes × 150 people = 216,000 people

Year: 525,600 minutes × 150 people = 78,840,000 people

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a
one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?

A. y = 9.5x + 22.5

B. y = 22.5x + 9.5

C. y = 9.5x - 22.5

D. y = 22.5x - 9.5

Answers

Answer:

A

Step-by-step explanation:

cause x shirts times 9.5(the price of shirt)+ one time fee

17. Kayla is going to draw a net of a square pyramid.
How many triangles should there be in her
drawing?

Answers

Answer:

there should be 4 triangles

the number 43/5 as a decimal.

Answers

Answer:

8.6

Step-by-step explanation:

I need help with this right now pls

Answers

Answer:C

Step-by-step explanation:

One shirt is represented as “y”

He ordered four shirts totaling $44

y+y+y+y =$44

Answer:

1. x = 462.30m

2. c

Step-by-step explanation:

1. Let "x" represent how much Samantha earns, and "m" represent how many months she has worked.

Because she makes $462.30 per month, if we multiply that by "m" then we will get x.

2. Kyle spend $44 on four sweaters total, which would make the total cost be evenly distributed into 4 sections.  

As a student give one reason why we need to know if our client is comfortable in our service​

Answers

Answer:

you need to know if your client is comfortable in your service so that if he or she is not comfortable you correct you mistake and make he or she comfortable

Step-by-step explanation:

Use the pic for info will mark as brainlest

Answers

The answer is C number 8

Answer:

B: 6

Step-by-step explanation:

lol sry i guess id know dis

What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2
Ex-
o hx) = x + 2
1
h(x) = x-2
2
Oh(x) =
2
1x+2

Answers

Answer:

(1/2)x-1/2 hope this is the answer if it's not then srr

The inverse of the function is h ( x ) = (1/2)x - 1/2

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2x + 1

The inverse of the function is calculated by taking the x coordinate and replacing it with y

So , the function now becomes

x = 2y + 1

On simplifying , we get

Subtracting 1 on both sides , we get

2y = x - 1

Divide by 2 on both sides , we get

y = ( x - 1 ) / 2

Now , replacing y with x , we get

h ( x ) = ( x - 1 ) / 2

h ( x ) = ( 1/2 )x - ( 1/2 )

Hence , the inverse of the function is h ( x ) = ( x - 1 ) / 2

To learn more about function rule click :

https://brainly.com/question/3760195

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WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!

Answers

Answer:

1, 2 * 3^3 * 17

2, 8

Step-by-step explanation:

64 is perfect sqr root 8*8 = 64

merhaba arkadaşlar ben Avustralya geldi o ben türkçe bane yerdam edip ​

Answers

Answer:

Step-by-step explanation:

1 saat = 60 dakika

30 dakika = yarım saat

60 dakika = 1 saat

240 dakika = 240 / 60 = 4 saat

80 dakika = 60 + 20 = 1 saat 20 dakika

Sierra used 4 pears and 12 apples to make a fruit salad. What is the
simplified ratio of the number of pears to the number of apples in
the fruit salad?

Answers

Answer: 1:3

Step-by-step explanation: for every pear she uses 3 apples

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