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

please help me find the area

Answers

Answer/Explain:

Okay to find the area you need to do base x length so in this case 11ft x 6ft. So 11 x 6 = 66 and there is your answer! I hope this helped

please help me i will brainliest i swear

Answers

Answer:

B

Step-by-step explanation:

In 3y+1, the 3 is the coefficient

Write an expression for the sequence of operations described below.
double the quotient of 6 and k

Answers

Answer:

blue

Step-by-step explanation:

I need help fast thank you all!!

Answers

Answer:

b = 5.2

c = 3.5

Step-by-step explanation:

By 45°- 45° - 90° triangle theorem:

[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]

By 30°- 60° - 90° triangle theorem:

[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]

47 POINTS AND BRAINLIEST PLZ HELP ME
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

How many lbs does the crate weigh?

How much does each chair weigh?

Answers

Answer:

each chair weighs 6 lbs and the crate weighs 18 lbs.

Step-by-step explanation:

The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

let, each chair weigh = x

and, the crate weigh = y

so, we get,

the equations as:

8x + y = 66 ....(1)

11x + y = 84 ....(2)

now, solving this two equations,

we get,

subtracting (2) - (1),

3x = 18

or, x = 6

so, we have,

y = 18

Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

To learn more on equation click:

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so like can anybody solve this?
ill give the first person to solve this crown

Answers

Answer:

11/5

This is what M a t h w a y says

Step-by-step explanation:

What is 666x666x999x1000

Answers

Answer:

443112444000

Step-by-step explanation:

mark me brainliest for first answer

Answer:

443,112,444,000

Step-by-step explanation:

666 x 666 x 999 x 1000 = 443,112,444,000

Hope it helps :)

Evaluate mn when m=16 and n=14.

mn=
pls need help

Answers

Answer:

The answer is 16(14)=224.

Answer:

224

Step-by-step explanation:

So I see that mn is together so that must mean multiply.

m is 16 & n is 14

16 x 14=224

Hope this helps :>

A moving company offers two price plans,
• The first plan charges a flat rate of $39.95 plus $0.12 per mile driven,
• The second plans charges a flat rate of $19.95 plus $0.28 per mile driven
How many miles must the truck be driven for the two plans to cost the same?

Answers

First plan: 39.95 + 0.12m
Second: 19.95 + 0.28m
Set them equal
39.95 + 0.12m = 19.95 + 0.28m
39.95 = 19.95 + 0.16m
20 = 0.16m
m = 125
Solution: 125 miles

Evaluate each expression

1-(-8)

Answers

1-(-8)
1+8 (add a line change the sign)
=9

Julio considers the reduction of the triangle. What is the correct cross product that he should use to solve for the missing dimension? (8)(12) = 21x (8)(21) = 12x (12)(8) = 12x (12)(21) = 8x

Answers

Answer:

(8)(21) = 12x

Step-by-step explanation:

(8)(12) = 21x

(8)(21) = 12x

(12)(8) = 12x

(12)(21) = 8x

Opposite : Adjacent

12 in : 21 in

Opposite : Adjacent

8 in : x in

Equate both ratios to solve for x

12 : 21 = 8 : x

12 / 21 = 8 / x

Cross product

(12)(x) = (21)(8)

12x = 168

x = 168 / 12

= 14

x = 14

Answer:

B

Step-by-step explanation:

*WILL GIVE A BRAINIST*
GEOMETRY

Answers

I’m not really sure, but I think it is C. XY=7. If it’s wrong, I am terribly sorry.

The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?

Answers

Answer:

8 inches = 120 miles

Step-by-step explanation:

If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.

120 / 30 = 4

4 x 2 = 8

8 inches = 120 miles

To check;

30 x 4 = 120

8 / 2 = 4

Hope this helps!!!

Answer:

The answer is 8in.

Step-by-step explanation:

Calculated 120/30

solve for n -4.2n-1.7=2.08

Answers

Answer:

n= -0.9

Step-by-step explanation:

-4.2n-1.7=2.08 ( move the constant to the right)

-4.2n = 2.08 + 1.7( calculate)

n = -0.9

I need help on this question reallyyyyy fast

Answers

Answer:

40 degrees

Step-by-step explanation:

75 + 65 = 140

The sum of all of the angles of a triangle equals 180

180-140 = 40

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

please please pleaseeeee help me!!

Answers

Answer:

wanna see my pokemon cards

Step-by-step explanation:

A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy will each student get?

Answers

Answer:

9 pieces of candy.

Step-by-step explanation:

The information about how many boys there are is irrelevant, so we can just ignore that.

The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.

So, to solve, we just do 396 / 44 = 9.

Therefore, each student will get 9 pieces of candy.

CLASS
Joanna had four candy bars
. She wanted to find out how many people could share the bars if each person
received- of a bar. Use the candy bar picture below to help you.
What is the answer to Joanna's question?
4.

Answers

Complete question :

Joanna had four candy bars. She wanted to find out how many people could share the bars if each person received 2/3 of a bar. Use the candy bar picture below to help you.

What is the answer to Joanna's question?

Kindly find attached candy bar picture below

Answer:

6 people

Step-by-step explanation:

From the picture, each candy bar has already been divided equally into 3. Since we have 4 candy bars. The total number of divisions we have is ; (3 * 4 = 12 candy units).

Since each person is taking 2/3 of a bar, this is equal to 2 units of candy

Hence, number of people who could share the bar :

Total units or division / units person

12 / 2

= 6 people

If a sweatshirt normally costs $40 but it is
marked down 20%. How much would it cost?

Answers

Answer:

$32

Step-by-step explanation:

First, find 20% of 40.

20% as a decimal is 0.20 (20/100)

0.20 x 40 = 8

Now, subtract 8 from the original price.

40 - 8 = 32

Answer:

$32

40 decrease 40%

40 x (1-20%) = 40 x (1-0.2) =32

Brainliest to right answer

Answers

Answer:

(-8) is the missing value here, so

the coordinates will be (-8,8)

Answer:

-8

Step-by-step explanation:

→ Substitute y = 8 into -4x - y = 24

-4x - 8 = 24

→ Add 8 to both sides to isolate -4x

-4x = 32

→ Divide both sides by -4 to isolate x

x = -8

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

a hockey team scored the following number of goals in their last 5 games: 2,3,5,3,2 which is the mean absolute deviation of the number of goals?

Answers

should be 5 because it’s in the middle

The required mean absolute deviation of the number of goals is 0.8.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

The mean absolute deviation of the number of goals is a measure of how far the individual scores deviate from the mean (average) score.

To find the mean (average) score:

Mean = (2 + 3 + 5 + 3 + 2) ÷ 5 = 15 ÷ 5 = 3

Next, we find the absolute deviation for each score:

Absolute deviation for score 2: |2 - 3| = 1

Absolute deviation for score 3: |3 - 3| = 0

Absolute deviation for score 5: |5 - 3| = 2

Absolute deviation for score 3: |3 - 3| = 0

Absolute deviation for score 2: |2 - 3| = 1

Mean absolute deviation is given as,
= (1 + 0 + 2 + 0 + 1) ÷ 5 = 4 ÷ 5 = 0.8

So, the mean absolute deviation of the number of goals is 0.8.

Learn more about mean here:

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Basic geometry question: Anybody able to give a down to earth explanation of a POINT, a LINE, a RAY and a SEGMENT?

Answers

Answer:

A point is a coordinate pair

A ray is a starting point but no end point (so it goes on forever)

A segment is a line connecting two points

(I'm in 9th still learning-ish)

HELP HELP HELP!!!!! Please help!

Answers

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80

Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to?

Answers

Answer:

Henry's friend referring to the disadvantage of Privacy.

Step-by-step explanation:

The main disadvantage of cloud storage is:

Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.

So, Henry's friend referring to the disadvantage of Privacy.

Answer:

E. The data is not under the owner’s direct control.

Step-by-step explanation:

took the test and got it right :)

Jaylen used the seat number for each of the 6,500 fans' seats in the stands at a college football game and put the numbers in a computer program. He randomly chose 200 numbers and found that 36 of those people had also purchased a parking voucher. Estimate the number of fans in the stands at a sold-out football game that purchased a parking voucher. Explain.

Answers

Answer:

1170 seats

Step-by-step explanation:

Given

[tex]Seats = 6500[/tex]

From the computer program, we have:

[tex]Sample = 200[/tex]

[tex]Voucher = 36[/tex]

First, we calculate the proportion (p) of those that bought the voucher

[tex]Proportion = \frac{Voucher}{Sample}[/tex]

[tex]p = \frac{36}{200}[/tex]

[tex]p = 0.18[/tex]

Using the larger population (i.e. 6500 seats), the esitimate of people that have bought the voucher is then calculated as:

[tex]Estimate= Proportion * Seats[/tex]

[tex]Estimate= 0.18 * 6500[/tex]

[tex]Estimate= 1170[/tex]

simplify. e^(in x)=, e^(in 5)=, e^(in 3x)=

Answers

Answer:

Step-by-step explanation:

e^ lnx  = x

e^ ln5 = 5

e^ ln 3x = 3x

I think you get the idea... e is an inverse operation to ln  :o

Answer:

Simplify.

ln e =

✔ 1

ln e2x =

✔ 2x

ln 1 =

✔ 0

Simplify.

eln x =

✔ x

e ln 5 =

✔ 5

e ln 3x =

✔ 3x

Step-by-step explanation:

I NEED SERIOUS HELP I WILL MARK BRAINLIEST IF U DO THE PAGE FOR ME PLZ HELP ITS DUE IN AN HOUR

Answers

Answer:

The rest are kinetic

Step-by-step explanation:

Potential: Standing at top of slide.

                JUICE IN ORANGE

UNBURNED COAL

BATTERY

FROG SITTING

BOOK ON HIGH SHELF

PARKED CAR

what is 3/10 x 5/36 please answer

Answers

Answer:

1/24

Step-by-step explanation:

Pls mark me the brainiest thx.

Hope this helps!

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