A piece of paper has a rectangle ABCD in which AB= 10 cm and BC = 22 cm , it was folded to form a right circular cylinder such that AB is cincident to DC . Find the volume of the resulted cylinder

Answers

Answer 1

Answer:  [tex]385cm^{2}[/tex]

Step-by-step explanation:

given data:

AB= 10 cm.

BC = 22 cm.

volume of a cylinder V = [tex]\pi r^{2} h[/tex]

h = 10.

solution

base of the circumference = 22cm

circumference of a circle = [tex]2\pi r[/tex]

r = radius is unknown.

[tex]2\pi r = 22[/tex] .........................eq1

where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.

[tex]2* \frac{22}{7}* r = 22[/tex]

[tex]\frac{44}{7} r = 22[/tex]

[tex]r = \frac{22}{\frac{44}{7} }[/tex]

[tex]r= 3.5cm[/tex]

next we solve for the volume of the cylinder.

recall   [tex]V = \pi r^{2} h[/tex]

h = 10cm

r = 3.5cm

[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]

[tex]V = 385cm^{2}[/tex]


Related Questions

identify the domain and range of the function input 1,3,5,7 output 8,7,6,5

Answers

Answer:

Domain = 1,3,5,7

Range = 8,7,6,5

Step-by-step explanation:

We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5

Domain of function:

For any function domain is set of input values.

Range of function:

For any function range is set of output values.

So, for the given function we have : input 1,3,5,7 output 8,7,6,5

Domain = 1,3,5,7 (set of input values is domain of function)

Range = 8,7,6,5 (set of output values is range of function)

is 3(5b - 2) and 8b - 5 equivalent

Answers

Answer:

No

Step-by-step explanation:

Answer:

I don't think so.

Step-by-step explanation:

3(5b - 2) would be equivalent to 15b - 6

20 POINTS
510√




a2√2

b5√

c10√2

d2√

Answers

Answer:

22.5

Step-by-step explanation:

Brainliest plzzz

What is the 20th term for the following sequence?
3,-9, 27,-81, ...

Answers

Answer: -3486784401

Step-by-step explanation:

This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)

where,

a = 3

r = -9/3 = -3

n = 20

Therefore, ar^(n-1)

= 3 × -3^19

= 3 × -1162261467

= -3486784401

Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?

Answers

Answer:

St rt ok is et cell pic ch se art on FB

sandwich = 2.5
apple juice = 1.5

A company that makes​ hair-care products had 200 people try a new shampoo. Of the 200 ​people, 12 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
A - 16.66666...%
B - 24 people
C - 6%
D - 6 people

Answers

Answer:

24

Step-by-step explanation:

first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps

Answer:

C. 6%

Step-by-step explanation:

First we need to divide the amount of people who got the allergic reaction by how many people were there.

So: 12 ÷ 200 = 0.06

Now, we need to multiply 0.06 by a whole percent, the whole percent is 100.

So: 0.06 × 100 = 6

6% of the people had a mild allergic reaction.

what is x+5x+2-4x=+2

Answers

Answer:

the solution is this:

x= -2

Answer:
x=0

Explanation:

Cancel 2 on both sides leaving you with

x+5x−4x=0

Then Simplify x+5x−4x to 2x.

2x=0

Divide both sides by 2

x=0


What is the slope rate of change of the following table? X 2 4 6 8 10 y 9 12 15 18 21 02 000​

Answers

Answer:

X⋅2=2X

4=2X

6=2X

8=2X

10y⋅9=90y

12=90y

15=90y

18=90y

21=90y

2=90y

0=90y

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

Answer:

9.8 because of the rate that is given

Step-by-step explanation:

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

12 bars of soap for $10.00 or 5 bars of soap for $4.00.

Answers

Answer:

12 bars for $10.00

Step-by-step explanation:

20 POINTS and BRAINLIEST
Solve the simultaneous equation!

Answers

Answer:

x=3   y=-1

Step-by-step explanation:

Answer:

X=3 and

Y=-1

and good luck for your test

Round your answer to the nearest hundredth.
?
А
C
3
70°
B

Answers

It would be 100 degrees

Sue has 85 flowers she puts them in seven vases with the same number of flowers in each vase except one how many flowers are in the vase with the greatest number of flowers

Answers

Answer:

I think it would be 13

Step-by-step explanation:

For every 3 days of vacation, Lisa packs 4 outfits. which statement is true? i have no idea im learning ratios and unit rates

Answers

Answer:

does it show you any statements or are you supposed to find one yourself?

what is the expression for "the difference of 3 and 5times a number"?

answering

3 - 5n

(3 - 5)n

5 - 3n

Answers

Answer:

3-5n is the correct answer

Rachel has a collection of 40 stuffed animals, of the animals, 3/8 are beats and 1/5 are dogs. The rest are other animals. How many other animals does she have?

Answers

Answer:

17 animals

Step-by-step explanation:

Rachel has a collection of 40 stuffed animals

3/8 are bears

= 3/8 ×40

= 120/8

= 15

1/5 are dogs

= 1/5×40

= 40/5

= 8

15+8

= 23

Therefore the number of animal she have left can be calculated as follows

= 40-23

= 17

Hence there are 17 animals left

pls help meeh everything is on the image

Answers

Answer:

Your slope is -1 and you y is 2 and the equation is -1y+ 0x

Step-by-step explanation:

Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?

Answers

Answer:

larry is 19

Step-by-step explanation:

ok, so larry's age is y, his sisters age is x

x + 8 = y

thats the equation for him being 8 years older

now 2y = 3x + 5

his sisters age is 3x + 5 to get larry's age when its doubled

substitute x + 8 in for y

2 (x+8) = 3x + 5

2x + 16 = 3x + 5

16 = x + 5

x = 11

11 + 8 = y

y = 19

Alexander was hopelessly lost. This new campus was 10 times bigger than his last school had been. He had no idea how to get back to his classroom. All the doors to all of the classrooms looked the same. Here he was staring down this endless corridor, hoping that someone would come along, so he could inquire where he needed to go.

Use the context clues to find the definition for the word inquire as it is used in this paragraph.

to shout
to ask
to help
to wonder

Answers

Answer:

to ask

Step-by-step explanation:

Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality could be used to represent the situation where Suzette’s charges, S, would be no more than her competitor’s charges?

Answers

Answer:

[tex]S\le 35h+42[/tex]

Step-by-step explanation:

Given that:

Cleaning supply fee charged by the competitor = $42

The charges by competitor per hour = $35

Let the number of hours = [tex]h[/tex] hours

Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]

Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42

Charges of Suzette's = [tex]S[/tex]

As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.

So, the inequality can be written as:

[tex]S\le 35h+42[/tex]

Where [tex]h[/tex] represents the number of hours.

e) x(m - n) + 2(m - n).​

Answers

Answer:

xm-xn+2m-2n

Step-by-step explanation:

exm-exn+2m-2n that’s the answer

Which must be true? Select two options. Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N

Answers

Answer:

A. Point H is the center of the circle that passes through points D, E, and F.

C. Line segment H E is-congruent-to line segment H D

Step-by-step explanation:

The center of a circle is a point within it that has the same distance to all other points on its circumference.

Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.

It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.

The correct options in the given question are: A and C.

Answer:

A. Point H is the center of the circle that passes through points D, E, and F

C. HC≈HD

Ms. Blankenship had $20 to purchase school supplies for her class. She bought 12 glue sticks and 12 boxes of crayons. Each glue stick cost $1.15, and each box of crayons cost $0.42. How much money did Ms. Blankenship have left after these purchases?

Answers

Answer: She had $1.16 left

Step-by-step explanation:

Step-by-step explanation:

1.16 dollars left

Please help me I will give 12 points

Answers

Answer:

5/8

Step-by-step explanation:

=3/8×5/3

=5/8

Hope this helps u....

Answer:

3/8 divided by 3/5

3/8 multiplied by 5/3

5/8 is the answer of this question

Find a common denominator for the pair of factions.then,write equivalent fractions with the common denominator 8/15 and 1/3

what is a common denominator ?

A.8

B.3

C.15

D.24

Answers

Answer:

c. 15

Step-by-step explanation: 15 is divisible by 3

I need help
(practice quiz)​

Answers

1/2 because out of the 12 bugs 6 are blue

Answer

slight

Step-by-step explanation:

But Never zero

if santa eats 20 chimichangas on christmas eve and 40 chimichangas on christmas day how much did he eat in all

Answers

Answer:

Total he ate 60 chimichangas.

Step-by-step explanation:

Since he ate 20 on christmas eve and 40 on christmas day you would add 20 plus 40 to get a total of 6.

Answer:

60

Step-by-step explanation: santas a xxxxxxxxxxL size in his suit

in conclusion santa is fat

help on this please​

Answers

Answer: 382

You put the 3 in the hundred then add 70+12=82 So this is right

Just add 70+12 then add 300

A number x divided by 4

Answers

I would help you but I need more information then this but if there is and answer it might be 4x
Other Questions
please help ill give you brainliest!!!!! PLEASE HELP ME I NEED HELP If X=sin130 + cos130 then 1)X 0 4) X> or equal to 0 brief about Gregor Mendel's di- hybrid cross in pea plant What is the definition of cordial as used in the sentence? invigorating drink deeply felt welcoming sweet liquor it is a damage areas to go into deep water if you dash swim The point R(-3,a,-1) is the midpoint of the line segment jointing the points P(1,2,b)and Q(c,-7,4)Find the values of:a=b=C= What is the geologic column?A. a sequence of rock layers with known rockand fossil formationsB. a column of dense ore that holds togetherrock layersC. an extremely deep hole that reaches thebottom of Earth's crustD. an area where fossils from every time periodresurface Strontium chloride, SrCl2Is ionic or covalent b - 9 = 21linear equations PLEASE HELP! WILL GIVE BRAINLIEST!Which of the following events was a catalyst for Spanish conquistadors to start to tolerate American Indian cultural practices?King Philip's WarThe Pueblo RevoltThe Valladolid DebateThe Great Awakening Estimate 40% of 128Please help :c define telecom billing How does ice in the North and South Poles trigger the movement of ocean currents? PLEASE HELP ME WITH THIS. 5 POINTS 5. The language and religion of Central and South America have been most influenced by If you need to vent just comment, nobody will judge you How many books does Brody read each month A postponed dream could... Which phrase from paragraph 4 best supports the answer to part A