A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube

Answers

Answer 1

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]


Related Questions

Please answer fast !!!!!!

Look at the picture

Answers

Answer:

< EAC = 31 (small angle of blue triangle)

< BCA = 31 (small angle of green triangle)

< ABC = 104 (big angle of green triangle)

< BDC = 45 (yellow triangle)

< BDF = 135 (outside yellow triangle)

< AEG = 76 (outside blue triangle)

NEED HELP 45 POINTS PLZ

Is there enough information to prove that the triangles are congruent?

If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.

If no, justify your answer.

Answers

Answer:

I have given the answer in the chat box as i was not able to post officialy

Step-by-step explanation:

Which expression is equivalent to sqrt(80)?

Answers

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective​ units? The probability of the restaurant buying at least 3 nondefective units is

Answers

Answer:

91%

Step-by-step explanation:

we can use combinations:

Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495

Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210

Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240

Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%

find the smallest number by which the number108 must be multiplied to obtain a perfect cube

Answers

Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4

Answers

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

subtract -2/3- (-2/5)

Answers

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade

Answers

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

My teacher doesnt really explain stuff good cause of her accent. May someone please explain how to do the problem and the correct answer? (no Trolls please) the problem is in the pic below

Answers

Answer:

hey sisters

Step-by-step explanation:

What is 3,350,000 in scientific notation?

Answers

Answer:

10^4 or 3.5

Step-by-step explanation:

Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal

Answers

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

The angle at C = 30°side AB = 8 units

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

Division expression​

Answers

The first answer is the correct one.




Explanation:

4*3+1=13

13/3 divided by -5/6

The sum of 4 thirteens and 16 thirteens, need answer ASAP :(

Answers

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

Learn more about sum from the link.

https://brainly.com/question/24205483

#SPJ2

From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP​

Answers

Answer:

315

Step-by-step explanation:

The sum of -265 and -156:

-265 + (-156)

= -265-156

= -421

The sum of 356 and -250:

356 + (-250)

= 356-250

= 106

The sum of both:

-421 + 106

= -315

Hope this helped!

A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K

Answers

Answer:

(-5,5)

Step-by-step explanation:

Can someone solve this? also, show work please. We need to find out what x is.

-6x + 13 = -5(7 +6x)​

Answers

Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

-----------------------------------------------------

Verification:

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Find log1/4 rounded to the nearest hundredth.

Answers

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

log1/4

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

-0.60 (since the value after 0 is less than 5)

Therefore, log1/4 is -0.60

Learn more on logarithm :https://brainly.com/question/30226560

#SPJ2

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

Will somebody help real fast I will give brain??​

Answers

Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

Please help me it due today at 11:59pm please help me will mark the brainiest please

Answers

first, i’d put the fraction into a decimal, then distribute, for example the fraction would be multiplied by y and 3 separately. then equal that to 40. it should now be a simple equation

Answer:

y = 69

Step-by-step explanation:

start with the distributive property:

5/9 * y and 5/9 * 3

and now you have: 5/9y + 15/9 = 40

and we have to isolate y so subtract 15/9 from both sides:

5/9y + 15/9 = 40

        - 15/9     -15/9

and now you have 5/9y = 345/9

and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y

and 345/9 divided by 5/9 = 345/5 and lets simplify....

y= 69

hope this helps luv

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms X Clear * Undo Redo ​

Answers

Answer:

[tex]T_{10} = 0.05078125[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Step-by-step explanation:

Given:

Sequence = 26, 13, 6.5 ....

Solving (a): The 10th term

The sequence is a geometric progression and the nth term will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case:

[tex]n = 10[/tex]

[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio

[tex]r = \frac{13}{26}[/tex]

[tex]r = 0.5[/tex]

[tex]a = 26[/tex] --- First term

So, [tex]T_n = ar^{n-1}[/tex] becomes

[tex]T_{10} = 26 * 0.5^{10-1}[/tex]

[tex]T_{10} = 26 * 0.5^{9}[/tex]

[tex]T_{10} = 26 * 0.001953125[/tex]

[tex]T_{10} = 0.05078125[/tex]

Solving (b): The sum of first 18 terms

This will be calculated using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Substitute values for n, a and r

[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]

[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Hence, the sum of first 18 terms is 51.9998016358

complete the statements,extra points!!! please don't answer if you don't know ​

Answers

Answer:

1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

convert.

What is the range of the function represented by the table?


A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 4, 6, 8, 10. Column 2 is labeled y with entries 2.5, 5.0, 7.5, 10.0, 12.5.

{2, 4, 6, 8, 10}

{2.5, 5.0, 7.5, 10.0, 12.5}

{2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}

{0.0, 0.5}

Answers

Answer:

{2.3, 5.0, 7.5, 10.0, 12.5} Option b

Step-by-step explanation:

Domain is the input values and the range is the output values. The y values.

Answer:

b

Step-by-step explanation:

Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1

Answers

A. 40%
B. 56.25%
C. 33.3333%
D. -88.8888%

1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI

Answers

Answer:

The correct answer is B

A bus traveled on a level road for 2 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on level road of the entire trip was 310 miles

Answers

Answer:

The average speed on level road is 65 mph

Step-by-step explanation:

Let the speed on the winding road be x mph

So the speed on the straight road will be x +20 mph

Mathematically, distance = speed * time

Distance on level road will be;

(x + 20)2

Distance on winding road will be;

x* 4 = 4x

Thus, we have;

2(x + 20) + 4x = 310

2x + 40 + 4x = 310

6x + 40 = 310

6x = 310 - 40

6x = 270

x = 270/6

x = 45 mph

The average speed on the level road is x + 20

That will be 45 + 20 = 65 mph

Help me and also show steps thanks will mark brainliest.

Answers

2. If you follow the main equation y=mx + b using the numbers provided by the table, you will be able to generate the adequate equation. In this case is: y=7/3x + 1

3. Every second the bird drops 50 FT of altitude.

factor 2x^2-9x+9=0 and please show ur steps

Answers

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.

Answers

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.

Answers

Answer:

x = -17

Step-by-step explanation:

y - y1 = m(x - x1)

y - 3 = 1/5(x - (-2))

y - 3 = 1/5(x + 2)

y - 3 = 1/5x + 0.4

y = 1/5x + 0.4 + 3

y = 1/5x + 3.4

Now we plug in y as 0 to find x

y = 1/5x + 3.4

(0) = 1/5x + 3.4

-3.4 = 1/5x + 3.4 - 3.4

-3.4 = 1/5x times 5

-3.4 times 5 = x

-17 = x

Answer:

x = -17 (Verified Answer) ✅

Step-by-step explanation:

If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.

Slope = Rise/Run (Change in y/Change in x)

In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.

m = rise/run

rise = y2- y1 substituting ----> 3 - 0 = 3

run = x2 - x1 substituting ----> -2 - x = run

Now, we can return to the slope formula, as we now have enough information to solve.

1/5 = 3/R

To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.

1R = 5 x 3

R = 15

Now that we know R, we can substitute it into the equation for run.

So, we now have:

15 = -2 - x

Subtracting -2 from both sides, gives us x = -17.

Finally, we must check our answer to make sure we are getting the correct slope when we calculate.

m = (3 - 0)/(-2 - -17)

m = 3/15 OR 1/5

Since. this matches the original slope we were given, we can be sure the answer is correct.

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