A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner
radius of the cylinder is 5.8 cm and the length is 50 cm. Find the volume of the metal used.
step by step explain plz​

Answers

Answer 1

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2} h [/tex]

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal ([tex]V_{m}[/tex]) can be found by subtracting the internal volume ([tex]V_{i}[/tex]) from the external volume ([tex]V_{e}[/tex]):

[tex] V_{m} = V_{e} - V_{i} [/tex]

[tex] V_{m} = \pi r_{e}^{2} h - \pi r_{i}^{2} h [/tex]    

The external radius is given by the sum of the internal radius with the tickness:

[tex] r_{e} = t + r_{i} [/tex]

Hence, the volume is:

[tex] V_{m} = \pi*50 cm((2.4 cm + 5.8 cm)^{2} - (5.8 cm)^{2}) = 5277.9 cm^{3} [/tex]

           

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!                                                      


Related Questions

help guys I would appreciate ​

Answers

Answer:

4 + 8

12 >= 12

TRUE

Becuase 12 equals 12

Step-by-step explanation:

I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.

Answers

Answer:

Your answer is 84.

9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.

~Sophia

Answer:

96 ft

Step-by-step explanation:

9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft

HELP PLEASE! DID I DO THAT RIGHT?!

Answers

Answer:

I think it is right, yes i think it is.

Step-by-step explanation:

I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.

Answers

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proofs.

Given: Points R, S, T, Q on circle O



Prove: mRS + mST + mTQ = mRQ

Answers

Answer:

Match the number of statement with the same number of reasons.

Step-by-step explanation:

Here are the statements

1.

Points R, S, T, Q on circle O

2.

measure of RS+ST=RT

measure of RT+TQ=RQ

3.RS+ST+TQ=RQ

Here are the reasons

1.Given

2. Arc Addition

3. Subsitution

100 points ! What is the area of the following composite figure? All angles are right angles.

24 m^ 2
27 m ^2
29 m^ 2
22 m^ 2

Answers

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

If a = -2 and b = -4 -3i, then find the value of a b in fully simplified form.​

Answers

Answer:

I'm not so sure but I think it's 6 or 9i

6....................

Please
Explain, in detail, the steps on how to factor the following trinomial: 3x^2 + 5x + 2

Answers

Answer:

Step-by-step explanation:

Hope this helps

simplify -5 ¼ - (-7 ½)

Answers

Answer:

2 1/4

Step-by-step explanation:

-5 1/4- (-7 1/2)

to minus cancel each other out so it becomes a plus

-5 1/4 + 7 1/2

common dinomanater

-5 1/4 + 7 2/4

2 1/4

In what group of 120 seventh graders, 30% have completed their science project. how many students have completed their science project?​

Answers

Answer:

36

Step-by-step explanation:

30% of 120 is 120 x 0.3

120 x 0.3 =36.

Could someone possibly help me with this question? Thanks

Answers

Answer:

[tex]12\sqrt{2}[/tex]

good luck, hope this helps :)

how can you solve 25% of 44 both mentally and with pencil and paper?

Answers

Answer:

Solving it mentally :-

It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.

25% = 0.25

0.25 × 44 = 11 *Answer is bolded.*

Solving it on paper :-

I have attached a picture of me doing it on paper.

Hope this helps, thank you :) !!

find the number that makes the ratio equivalent to 6:15

Answers

Answer:

2:5

Step-by-step explanation:

6 / 3 = 2

15 / 3 = 5

k+ 6 ≥ 19, if k = 11

Answers

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

What is inequality?

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

To learn more about Inequality here

https://brainly.com/question/21555891.

#SPJ2

Multiply x^2 y(3xy - 2x^2 y)

Answers

Answer is 3x^3y^2-2x^4y^2

Please help! I need it to move on to the next question I have 30 minutes

Answers

Answer:

uh either b or e

the others are slope-intercept

I hope this helps:)

- ♥

Can someone help me find the gradient for this graph ​

Answers

The line passes through points (0,0) and (7,4)

Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7

Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay?​

Answers

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

Will and Ben win £1000 in a raffle
they give a fifth of it to charity and share what's left in the ratio 1:3.
How much is bens share

Answers

Answer:

600

Step-by-step explanation:

Answer:

£600

Step-by-step explanation:

1/5 of 1000= £200

that means £800 is left over

1:3= 200:600

ben gets £600, will gets £200

a circle is drawn through (3,2),(-1,-2) and (5,-4).find the:(a) coordinates of the centre of the circle,(b) radius of the circle,(c) equation of the circle,showing
working.​

Answers

Answer:

Step-by-step explanation:

The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...

Solve for x in the diagram
A)38
B)16
C)20
D)42

Answers

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42


Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)​

Answers

Answer:

P=6s

Step-by-step explanation:

to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:

since we can see what linear function is

the second condition is the best fit

The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)

therefore

our answer is b

in a bag of marbles 4 are
blue. 5 are white, and 11 are
red. What is the probability of
NOT drawing a red?

Answers

Answer:

3/4 or a 75%

Step-by-step explanation:

Adam and Katy both receive a bonus.
Adam receives 30% of £80
Katy receives £28
Work out the difference between the bonus Adam gets and the bonus Katy gets.​

Answers

Step-by-step explanation:

Adam's bonus

30/100= 0.3

0.3 *80=24

therefore Adam's bonus is £24

since Katy bonus is £28

The difference between the bonus Adam gets and the bonus Katy gets

£28 -£24 =£4

Which expression is equivalent to the expression below?

2(6k+4)−4(2+2k−1)
-------------------------------------------------------------------------
a} 18+48k

b} 14k−1

c} 4k−4

d} 4+4k

Answers

Answer:

D. 4+4k

Step-by-step explanation:

(12k +8) - (8+ 8k - 4)

12k +8 - 8 - 8k + 4

4k +4

d}4+4k

2(6k+4)-4(2+2k-1) writing down the question

12k+8-8-8k+4 multiplying the numbers by the coefficients

12k-8k+8-8+4 collecting like terms

4k+4 the answer

9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount of $2 off the original price (p) of each ticket. What is the value of p?​

Answers

the answer is $7

Step-by-step explanation:

70 divided by 14 is 5.

cost would be $5 per person before discount of $2

$5 plus $2 equal $7

p= $7

Find an equation in point-slope for the line having the slope m m = - 6 and containing the point (8,6)

Answers

Answer:

y-6 = -6(x-8)

Step-by-step explanation:

Here, we want to get the equation of the line in point-slope form

The point slope form is;

y-y1 = m(x-x1)

(x1,y1) represents the slope

We have this as ;

y-6 = -6(x-8)

A bag contains 8 red marbles, 12 blue marbles, and 17 green marbles. If one marble is randomly selected
from the bag, what is the probability that the marble is red or green?
for

Answers

Answer:

There are 37 marbles.

Probability = (# favorable outcomes) / (# total outcomes)

P (r or g) = 25/37

3) 25/37

Step-by-step explanation:

The probability of red or green marbles is 0.676

How to determine the probability?

The given parameters are:

8 red marbles, 12 blue marbles, and 17 green marbles

The number of red or green marbles is:

Red or Green = 8 + 17

Evaluate

Red or Green = 25

The probability of red or green marbles is:

P = 25/(8 + 12 + 17)

Evaluate

P = 0.676

Hence, the probability of red or green marbles is 0.676

Read more aboit probability at:

https://brainly.com/question/251701

#SPJ2

Is

Y=-3/4x -2
Y=3/4x+1

One solution many solution or no solution

Answers

I’m not sure what I can do

Pls help
Thanks have. A good day

Answers

Answer:

on 14th day

Step-by-step explanation:

...........

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