A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h

Answers

Answer 1

Answer:

The height of cylinder is 9 cm

Step-by-step explanation:

Volume of cylinder = 198 cm³

Base Area = 22 cm²

We need to find height of the cylinder

The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]

Where [tex]Base\: Area = \pi r^2[/tex]

First we need to find radius r

[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]

So, we get radius r = 2.656

Putting values of volume and radius are to find height

[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]

So, the height of cylinder is 9 cm


Related Questions

In the diagram below, what is the approximate length of the minor arc DE?
A. 79 cm
120 F
B. 39 cm
25 cm
C. 26 cm
D. 52 cm

Answers

Answer: its D. 52 cm

Step-by-step explanation: Just got it good

Is y=-3.5x-10 proportional

Answers

Answer: =3.5x Slope:

3.5

y-intercept:

0

Step-by-step explanation:

y=-3.5x-10 is an inverse proportional.

Given that, the given equation is y= -3.5x-10.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

Put x=0, 1, 2, 3, and 4 in the given equation.

When x=0

y=-10

When x=1

y=-3.5(1)-10

=-3.5-10

=-13.5

When x=2

y=-3.5(2)-10

=-7-10

=-17

When x=3

y=-3.5(3)-10

=-10.5-10

=-20.5

Here, x increases and y decreases, it is inverse proportionality

Therefore, y=-3.5x-10 is an inverse proportional.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

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Write a short free verse poem describing the panda bear in the image.

Answers

Panda bear, you sit looking at me.
Scratching your armpit, coping me.
We look into each others eyes.
Who knew love at first sight was really true.
I love you panda bear, cant you see.
Were truly ment to be.

Answer:

Its another day at the zoo

As people take photos of me

No wonder their crazy

I am just eating

My  delicious great  bamboo!

Decrease £16855.21 by 3.5%

Answers

Answer:

16265.27765

Step-by-step explanation:

3.5 percent of 16855.21 is 589.93235

16855.21-589.93235=16265.27765

please mark me as brainliest! i'd really appreciate it<3

Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?

Answers

Answer:

35

Step-by-step explanation:

E  = M - 12

M = 6 + I

I = P x 2

P = 5

I = 10

M = 16

E = 4

Oop please- what rock is this

Answers

Answer:

a rock i think

Step-by-step explanation:

its layers and wavy probably claystone or sandstone

Help ASAP don't spam please, its about exponents

Answers

Answer:

A. FALSE

Step-by-step explanation:

pls mark me as brainliest

Answer: True

Step-by-step explanation:

1) For a period of time, an island's population grows at a rate of 3.8% per year. If the current
population is 1543, what will the population be in 5.2 years?

Answers

Okay so 3.8% of 1,543 is 58.634 so then you would multiply it by 5.2 for years witch would be 304.8978 so add that to the original witch is 1543 so your answer would be 1847.8978 rounded up would be 1848

A paint roller, shown below, is used for painting large surfaces.
2in1
9 in
Figure not drawn to scale.
How many square inches does a single rotation of the paint roller cover? (Round to the nearest tenth of a square inch.)

Answers

Answer:56.5 in

Step-by-step explanation:

Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08

Answers

Answer:
27.068
28.08
28.15
28.30
29.94

Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?

Answers

Step-by-step explanation:

I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00

Answer:

No

Step-by-step explanation:

Switch=$350 + tax = ???

Liam's Money= $380

350*9/100=tax

tax=$31.50

350+31.50=$381.50

that's how much he would need to pay: 381.50

so:

no he won't have enough money. he's 1.50 short

Write the equation of the line with the given slope and y intercept
m = -5 b = -8

Answers

your answer would be y= -5x -8

Answer:

y = -5x -8

Step-by-step explanation:

The equation is y = mx + b so just plug it all in

y = -5x + (-8)

which is

y = -5x -8

⚠️PLZ HELP⚠️
Triangle ABC is similar to
triangle FGH. What is the
value of x in centimeters?

Answers

X=10 centimeters, because the ratio of the triangles is 3:2, so if the larger one is 15 the smaller x value is 10.

What is 15.2 m to mm

Answers

Answer:

15200mm

Step-by-step explanation:

I just asked googl

Answer:

15.2m is 15200mm

Step-by-step explanation:

you multiply or divide the original number by however many tens places the other measurement is away. So, 15.2(m) is 3 tens places away from (mm) so you would multiply 15.2(m) by 1000 (15.2 x 1000) and you would get 15200

how do I find the slope of a line from a table graph ​

Answers

Step-by-step explanation:

slope is the rise over run

rise= X

run= Y

X/Y = slope

This subject is on integers

Answers

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.

Use the Law of Logarithm to expand the expression. ln(y √x/z (I know the answer is 2ln(y)+ln(x)-ln(z) all over 2, but I need the steps to get there)

Answers

Answer:

[tex]in (y\sqrt{\frac{x}{y}}) =\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]

Step-by-step explanation:

From the question we are told that the expression [tex]ln(y √x/z[/tex]

[tex]in (y\sqrt{\frac{x}{y}})[/tex]

[tex]in(y)+in(y\sqrt{\frac{x}{y}})[/tex]

[tex]in(xy)=in(x)+in(y)[/tex]

[tex]in(xy)=in\frac{x}{z} ^1^/^2 +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(\frac{x}{z}) +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(x)-in(z) +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]

Mathematically

[tex]in (y\sqrt{\frac{x}{y}}) =\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]

2x + 1 = 9
is that the answer ?

Answers

Answer:

yes

Step-by-step explanation:

because 9-1=8/2 equals 4 so2x4+1=9

Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot where coaches and players will be standing during the game. Which expression could be used to determine the amount of string in meters, coach lenore i used altogether

Answers

Answer:

10 19/10 meters

Step-by-step explanation:

Step one:

given data

let the amount of string used for the soccer field be x

and the amount used for coach spot be y

Also, let the total string used be represented as T

Step two:

Hence the expression for the total is

T= x+y

T= 9 1/2+ 2 2/5

T= 9.5+ 2.4

T= 11.9

or

T= 119/10 meters

or

T= 10 19/10 meters

Find a positive solution for this equation..

Answers

Answer:

x=6 or x=−6

Step-by-step explanation:

Find the value of each variable in the parallelogram.

Answers

Answer:

m = 35, n = 110

Step-by-step explanation:

Opposite angles are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

Consecutive angles are supplementary, that is sum to 180° , so

70 + n = 180 ( subtract 70 from both sides )

n = 110

x is a negative integer which is the largest
7x+4
x-4
5x
-5x

Answers

Answer:

-5x

Step-by-step explanation:

Remember, if you multiply a negative number by a negative number, you will get a positive number, and positive numbers are greater than negative numbers. In this case, if I were to multiply each of these expressions with -1, I would get the following:

7(-1)+4=-3

-1-4=-5

5(-1)=-5

-5(-1)=5

And I'm sure you can imply how these values will correspond to other negative values. Basically, the last expression gives us a positive answer, which is larger than the others (which give a negative answer).

-5x will be the largest among the options since x is the negative integer.

What is a negative integer?

On the number line, a negative integer is an integer that is to the left of zero. It is not equal to zero.

Given, x is a negative integer, all given options will become negative except " -5x".  written with a minus sign. a number smaller than zero, but not a fraction or a decimal fraction.

Since for any value of x, all the given options will be negative.

Therefore, Due to the fact that x is a negative integer, -5x will be the largest selection.

Learn more about negative integers here:

https://brainly.com/question/6909050

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Simplify the expression. Write your answer using an improper fraction
with no spaces.

Answers

Answer: 59/3k+14

Step-by-step explanation:


x + 3y = 18
-X - 4y = -25

Answers

-y=-7
Y=7
-x-4(-7)=-25
-x+28=-25
-x=3
X=-3

Answer:

x = -3

y= 7

Step-by-step explanation:

x + 3y=18 ----(1)

-x - 4y=-25 -----(2)

from equation (1)

x = 18 - 3y ---(3)

putting equation (3) into equation (2)

-(18 - 3y) - 4y = -25

18 + 3y -4y = -25

3y - 4y = -25 - 18

-y = -7

y = 7 ✓

Putting y=7 into equation (1)

x + 3(7) = 18

x + 21 = 18

x = 18 - 21

x = -3 ✓

WORTH A BRAINLIEST

A car driving cross-country traveled 180 mites in 4 hours. At this rate of speed, how many mites further will the car travel in the next 3 hours?

Answers

Answer:

I'm sure you mean miles, but the car will travel 135 mites.

Step-by-step explanation:

(180/4)3 = 135 miles. The car will be traveling at 45 miles per hour since 180 miles divided by four hours is 45, then you can multiply that by three to get the distance the car will travel in the next three hours. A function that models this equation is f(x)=45x.

QUICK HELP ME PLEASEEEEEEE. ONLY ONE HOUR LEFT! WILL MARK BRAIN...

Answers

Answer:

copy and paste it to math website

Step-by-step explanation:

Aaliyah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $66 for parts. The total was $441. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Equation:
Answer: I =​

Answers

Answer:

you should try adding then subtractung the total to the part

Graph the equation y=2x+10

Answers

Answer: Look below this should answer your question. I think this is the right answer

On Your Own #2
On a map. 1 cm represents 30 km. Two cities on the map are 2.3 cm apart
How far apart are the actual cities?
2.3 km
13 km
30 km
69 km
Scale 1:20.000 (3.2 inches to 1 mile)
0.25 0.50 0.75 1 kilometre
mile

Answers

The answer would be 69 km.

Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh

Answers

Answer: The answer is 2

Step-by-step explanation:

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