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

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What is
its volume, in cubic m?

Answers

Answer: Would it be 10^3m

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

jenny goes to the shop she buys
. three cups for £1.24 each
.three saucers for 95p each
. a teapot for £6.18
jenny has £20 to spend she also wants to but some plates, which are £1.57 each.
what is the greatest number of plates jenny she can buy

Answers

Answer:

5

Step-by-step explanation:

1.24 times 3 = 3.72

.95 (the value of pence to a pound in decimal form) = 2.85

6.18 for the teapot

2.72+2.85+6.18=11.75

She now has £8.25 left (20-11.75).

8.25/1.57=the amount of plates she can buy: 5.25477707006, so 5 with some money left

This is correct right?

Answers

Answer:

Yes, it is not a diameter

Step-by-step explanation:

It's going through the circle (sphere) which makes it a diameter

I and D are not going straight through the middle

a and b are correct

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

What do 5.75 and 8.75 have in common

Answers

Thhe fraction and ratio are the same

They both end in .75

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!

Answers

The answer is (4,-1)

Solve the inequality -20 < 10n

Answers

Answer:

n>-2

Step-by-step explanation:

Isaac walks 6/10 of a mile of a mile in 1/5 of an hour. If Isaac’s walking rate remains constant, what is Isaacs walking rate in miles per hour?

Answers

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Helppppp this is really hard

Answers

Answer:

0 is the right answer.

Step-by-step explanation:

[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]

There are no real zero in the equation.

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b

Answers

Answer:

b=-4

Step-by-step explanation:

basically divide both sides by 14 which equal -4

The solution to the equation 14b = -56 is b = -4.

To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.

14b ÷ 14 = -56 ÷ 14

Simplifying:

b = -56 ÷ 14

b = -4

Therefore, the solution to the equation 14b = -56 is b = -4.

To know more about equation, refer here:

https://brainly.com/question/14506845

#SPJ6

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

At Bridgeview School, 7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Bridgeview School ride the school bus. The remaining students walk. What fraction of the students walk to school?

Answers

Answer:

a fraction

Step-by-step explanation:

a fraction

C

Step-by-step explanation:

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

5(x + 3) represents the area of the rectangle above. Which expression below is
equivalent by the Distributive Property? (4 points)
1) 5x + 3
O2) (5 + x) + 3
3) 5x + 15
O4) (x + 3) - 5
ILL GIVE BRAINLIEST

Answers

Answer: 1,2,3 becuase they are all equivalent its just logic when you think abt it

Step-by-step explanation: 4 makes no sense

Answer: I dont know

Step-by-step explanation: Math make my brain hurt, and its not 4 btw.

ps: answer is C third option

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

Which expressions are in their simplest form? Check all that apply.

Answers

Answer:

The first one is the only one in simplest form.

Answer: this is answerrrr

A C D

peace

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

(3x+15) (2x)

Help pls

Answers

Answer:

(

3

+

1

5

)

(

2

)

(3x+15)(2x)

(3x+15)(2x)

Simplify

1

Distribute

(

3

+

1

5

)

(

2

)

3

(

2

)

+

1

5

(

2

)

Solution

3

(

2

)

+

1

5

(

2

)

Step-by-step explanation:

Answer:

[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?

Answers

Answer:

232 inches or 19.33 feet

Step-by-step explanation:

232 feet is the  actual width of the airplane.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale

1 inches = 8 ft scale.

Sally painting was 29 inches wide.

We have to find the actual width of the airplane.

Convert 29 inches to feet.

As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.

29×8

232 feet.

Hence, 232 feet is the  actual width of the airplane.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ5

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers

Answers

Answer:

a = 16

b = -6

Step-by-step explanation:

a + 2b = 4

2a + b = 26

2a + 4b = 8

2a + b = 26

3b = -18

b = -6

a + 2(-6) = 4

a - 12 = 4

a = 16

Ryan works at a cell phone store Monday to Friday. He earns $80
per day plus $8
per phone sold. On Tuesday, Ryan makes at least $176.

Hurry up pls

Answers

Answer:

If you are asking how many phones he sold Tuesday he sold 12

Step-by-step explanation:

you subtract 80 from 176 then you get 96 and divide that by 8 to get 12 phones

Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2

Answers

Answer:   B. 254.34 cm^2

Step-by-step explanation:

The area of a circle is pi times the radius squared.

Using the diameter we have to find the radius.

The diameter is two times the radius meaning that the radius is half the diameter.

18/ 2 = 9

The radius will be 9 cm

Now using the formula   v= pi * r^2    ,  input the value for pie and the radius and solve for  v  the volume

v = 3.14 * 9^2

v= 3.14 * 81

v = 254.34 cm^2

Answer:

The answer would be B) 254.34 cm2

Step-by-step explanation:

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

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