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

A right square pyramid is shown. The base has a side length, b, of 30 centimeters (cm). The height, h, is 10 cm.

What is the length, in centimeters, of l?

Draw and label a triangle to model how to find the length of l.
What are the lengths of the legs? How do you know?







What is the length, in centimeters, of l? Use your model to help you find this value.

Answers

Answer:

Step-by-step explanation:

Without the illustration, I assume that L is the slant height of a triangular face.

L = √(15^2 + 10^2) = 5√13 cm

what is the second step when multiplying mixed numbers.

Answers

Answer:

Multiply the numerators, than the denominator

Step-by-step explanation:

Because...

1. Change the mixed number to a impoper fracytion

2.Multiply the numerators, than the denominators

3. Than multiply the numerator and denominator seperatly

Find the missing angle?​

Answers

Answer:

90 degrees

Step-by-step explanation:

the answer to this problem is 90

If a = 5, what is the value of 2a2 - 3a + 11 ?
A.
16
B. 46
C. 71
D. 96

Answers

Answer:

a. 16

Step-by-step explanation:

2(5)(2) = 20; 20 - 3(5) = 5; 5 + 11 = 16

I hope I did this right. Good luck

Answer:

B. 46

Step-by-step explanation:

2(5)^2-3(5)+11

PEMDAS (exponent)

2(25)-3(5)+11

PEMDAS

50-15+11

subtract (because it came before addition)

50-15= 35+11

final step add

46

2. What does Decay means?
O To increase more and more.
O To get lesser and lesser.
O To multiply.
O To get higher.

Answers

To get lesser and lesser

5. A farmer's annual income is represented by the variable x. The farmer will pay 28% of his income for federal taxes and 7% of his income for state taxes. Which two expressions represent the amount of money the farmer will have after paying these taxes?


A. 0.35x

B. 0.65x

C. 1 – 0.35x

D. x – 0.35x

E. x(0.28 + 0.07)

Answers

Answer:

B. 0.65x. and x – 0.35x

Step-by-step explanation:

His tax rates add up to 0.35

his total income, x, minus 0.35x is 0.65x.

x – 0.35 = 0.65,x

x+5
3

+
x−5
2x+5

=
x−5
3x

Answers

Answer: 4x+5 [tex]\neq[/tex] 4x-5

Step-by-step explanation: It's really hard to tell what the question is.

Evaluate
(i)√121
(ii) 3^-2

Answers

I think your looking for. 11 and 1/9

how to factor with the quadratic fourmula. n2-18n+66=0

Answers

Solve the equation using the quadratic formula
More Icon
The Quadratic formula provides the solution for
A
n
2
+
B
n
+
C
=
0
, in which A, B and C are numbers (or coefficients), as follows:


So it would be either n= -5.127 or n= 12.873

Find the measure of one interior angle in the regular polygon hexagon

Answers

All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above)... And there are six angles...


So, the measure of the interior angle of a regular hexagon is 120 degrees.

Help me plssssssss!!!

Answers

Answer:

1) B. $9000

2) A. (4,5)

Step-by-step explanation:

How do you do this?? Show all work please

Answers

The answer is every long.

Step-by-step explanation:

as the figure shows

If sec 50 = cosec 70, prove that 0 = 7.5°​

Answers

Answer:

The proofing is given below:

Step-by-step explanation:

[tex]Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta) = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta[/tex]

Hence, it is proved

EASY PLEASE HELP!!!!!!

Answers

Answer:

e - surveys

Step-by-step explanation:

I'm not sure btw sorry but hope this can help

3. The cost of the city permits needed to build this building is 150,000 no matter how many floors with

condos are built.

a. Create a function p(1) based on this information.

b. What is the slope of your function and what does it tell you?

Answers

Answer:

[tex]P(x) = 150000[/tex]

[tex]Slope = 0[/tex]

Step-by-step explanation:

Given

[tex]Cost = 150000[/tex]

Solving (a): The cost function:

From the given parameter, it shows that the number of floor has no effect on the floors.

So, represent the floors with x.

The cost function is:

[tex]P(x) = 150000[/tex]

Solving (b): The slope and its interpretation

A function is represented as:

[tex]f(x) = b + mx[/tex]

Where:

[tex]m=slope[/tex]

By comparing: [tex]f(x) = b + mx[/tex] to [tex]P(x) = 150000[/tex]

[tex]m = 0[/tex]

So:

[tex]Slope = 0[/tex]

What it means is that, no matter the number of floors, the cost remains unchanged.

Plz help im very confused. Find Cos E.

Answers

Answer:

cos E =9/41

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos E = adjacent/ hypotenuse

Cos E = 18/82

cos E =9/41

Answer with evidence I give points and brainiest and friend me for personal points

Answers

Answer:

12.75ft²

Step-by-step explanation:

Step 1: Determine the formula for the area of a trapezoid

The formula for the area of a trapezoid is A=1/2(b1+b2)*h where b1 and b2 are the bases of the trapezoid and h is the height of the trapezoid.

Step 2: List given information

b1=8ft

b2=9ft

h=1.5ft

Step 3: Plug given variables into the formula

A=1/2(b1+b2)*h

A=1/2(8+9)*1.5

A=1/2(17)*1.5

A=8.5*1.5

A=12.75

So the area of the seat is 12.75ft²

Please triple check

Answers

It’s right I don’t see what’s wrong with it ok? So go ahead
1/2 is the answer to the question

What is the best answer for this

Answers

Step-by-step explanation:

the answer is 4

a+(-7)+3=0

a=7-3

a= 4

Answer:

4

Step-by-step explanation:

There are two ways of going about this problem. One could simply substitute every given answer and simplify to see if it makes a true statement. Conversely, one could solve the given equation with inverse operations. In this case, it is easier to solve with inverse operations.

Undo parenthesis,

a + (-7) + 3 = 0

a - 7 + 3 = 0

Simplify,

a - 7 + 3 = 0

a - 4 = 0

Inverse operations,

a - 4 = 0

   +4

a = 4

The table shows the relationship between the average number of hours students studied for a mathematics test and their
average grade.
Hours
Studied
Average
Grade
0
62
1
78
2
85
5
74
Which type of function is most likely to model these data?
A
linear function with positive rate of change
O
B
linear function with negative rate of change.
non-linear function that decreases then increases
D
non-linear function that increases then decreases

Answers

Answer:

D

Step-by-step explanation:

I'm going to ponder a guess that the numbers shown, 0, 62, 1, 78, 2 ,etc. are part of a table. Having said that, the answers, when graphed, create a sort of parabola, meaning that the function itself is non-linear. This exterminates option A and B. Now its just a matter of seeing which way it goes, and since 78 is higher than 62, and 85 is higher than 78, it obviously increases, rather than decreases. This makes D our final answer.

What is the absolute value of -36

Answers

Answer:

36

Step-by-step explanation:

absolute value of -36 is 36

HELP ASAP FOR 25 POINTS


What is the ratio of the sides of the smaller triangle to the bigger triangle?

1:9

1:6

9:1

6:1

Answers

Answer:

6:1

Step-by-step explanation:

That's the answer

.

.

.

This recipe makes 15 cupcakes.
Deepak only wants to make 12 cupcakes.
How much of each ingredient does he need?

Recipe: Makes 15 cupcakes
12 ounces butter
10 ounces sugar
15 ounces flour
5 eggs

Answers

9.6 ounces butter
8 ounces sugar
12 ounces flour
4 eggs

36733"lik açının derece,dakika ve saniye olarak eşiti aşağıdakilerden hangisidir? A) 10° 14' 13" B)10° 14' 3" C)10° 13' 13" D)10° 12' 23" E)10° 12' 13"​

Answers

Answer:

E

Step-by-step explanation:

36733 / 60 "612 kalan da 13

612/ 60 = 10 kalan ise 12

What numbers can you multiply to get 14 and add to get -5?

Answers

Answer:

-2 and 7

Step-by-step explanation:

2×7=14

2-7=-5

this is what I got.

Please help!!! I’ll make brainlest.

Answers

I got the same one it so hard have you got an answer yet?

What is the value of a+b?

Answers

Answer:

125

Step-by-step explanation:

[tex]a = \frac{1}{2} \times 90 \degree \\ \\ a = 45 \degree \\ \\ b =\frac{1}{2} (360\degree - 200\degree) \\ \\ b = 80\degree \\ \\

a + b = 45 + 80 \\ \\ a + b = 125 \degree[/tex]

King, a golden retriever, can find a tennis ball hidden in his yard 89% of the time, while Tessa, a Labrador mix, can find a tennis ball hidden in her yard 94% of the time. Suppose King’s owner hides a tennis ball in his yard 100 times and Tessa’s owner hides a tennis ball in her yard 150 times. Let K = the proportion of times King finds the tennis ball and T = the proportion of times Tessa finds the tennis ball. What is the probability that the proportion of tennis balls King finds is greater than the proportion Tessa finds?

A) 0.050
B) 0.088
C) 0.476
D) 0.912

Answers

Answer:

B) 0.088

Step-by-step explanation:

took the quiz

Which statement describes the relationship between x and y in these two equations? y = 2x and y = x + 2
A. In y = 2x he value of y is 2 more than the value of x, and in y = x + 2 the value of y is twice the value of x.
B. In y = 2x and in y = x + 2, the value of y is 2 more than the value of x.
C. In y = 2x and in y = x + 2, the value of y is twice the value of x.
D. In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

Answers

Answer:

D

Step-by-step explanation:

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is 2 more than the value of x.

plz help
plz
plz
plz
plz​

Answers

Answer:

Please refer to the attachment

Answer:

x = -1/2   or x = -3

Step-by-step explanation:

2x^2 + 7x + 3 = 0

First, we try factoring the polynomial.

(2x + 1)(x + 3) = 0

It works. Now we set each factor equal to zero.

2x + 1 = 0   or   x + 3 = 0

2x = -1   or   x = -3

x = -1/2   or x = -3

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