10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.

Answers

Answer 1

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

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

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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Related Questions

please is for today and fast

Answers

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Multiply as indicated. Write the product in standard form.
(2+i)^2

Answers

Answer:

3 + 4i

Step-by-step explanation:

Directions: Solve for x, then find each angle measure

Answers

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

9x + 3 + 11x - 21 + 5x - 2 = 180

25x = 180 - 3 + 21 + 2

25x = 200

x = 200 : 25

x = 8

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

E = 9 * 8 + 3 = 75°

D = 5 * 8 -2 = 38°

F = 11 * 8 - 21 = 67

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

check

75 + 37 + 67 = 180°

The required simplified value of the x is 8, as of the given condition.

A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8

Thus, the required simplified value of the x is 8.

Learn more about simplification here:

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#SPJ2

What are complex integers ?

Answers

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

Please help thanks!!!

Answers

Answer:

[tex]a^{2}[/tex]

Step-by-step explanation:

Answer: ?

Step-by-step explanation:

Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?

Answers

Answer:

Train A

Step-by-step explanation:

Look at the table.

Train A : 75 - 50/ 3 - 2 = 25 mi/n

Train B : 40 - 0/ 2 - 0 = 20 mi/n

25  > 20

So it's train A.

{ RATE }

What happens if I find the sum of two even numbers

Answers

I don't know what you mean by this but you'll just get a value larger than the two sums that you added

5 + 7 = 12

3 + 4 = 7

Answer:

The sum will always be even

Step-by-step explanation:

Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!

Answers

Answer:

401 r 20

Step-by-step explanation:

It would equal to 401 r 20.

Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk

Answers

Answer:

Each snack bar contains 12 carbs and each milk contains 15 carbs.

Step-by-step explanation:

Let M be the carbs in milk and S the carbs in a snack bar.

We are told:

4M + 3S = 96, and

2M + 4S = 78

===

We can eliminate one of the variables and then solve for the other.  Let's multiply the second equation by -2 and then add it to the first.  This will eliminate the M:

4M + 3S = 96

-4M - 8S = -156

-5S = - 60

S = 12

Each snack bar has 12 carbs.  Use either equation to find M.  I'll  use the second:

====

2M + 4S = 78

2M + 4*(12) = 78

2M + 48 = 78

2M = 30

M = 15

Each milk contains 15 carbs

solve for y -3.3+y/4=9.7

Answers

Answer:  y=  5 /52  = 10 2/5 = 10.4

Step-by-step explanation:

-3.3+y/4=-9.7

We move all terms to the left:

-3.3+y/4-(-9.7)=0

We add all the numbers together, and all the variables

y/4+6.4=0

We multiply all the terms by the denominator

y+(6.4)*4=0

We add all the numbers together, and all the variables

y+25.6=0

We move all terms containing y to the left, all other terms to the right

y=-25.6

   

   

1,8,27,64

find the rule and show how did you find it​

Answers

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.

a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.

y = _______

b. Interpret the slope and y-intercept of the line of fit.

Answers

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

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HURRY! THIS IS OVERDUE!

Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!

In which table does y vary directly with x?

Answers

Answer:

Answer is D

Step-by-step explanation:

The equation for D is y = x · 4

X      | Y

1 · 4 = 4

2 · 4 = 8

3 · 4 = 12

So Y varies directly with x in table D

help please??? really don't understand this:)

Answers

Answer:

9.4

Step-by-step explanation:

Each pay 7.05.

7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.

Each ticket costs 9.4

Please mark brainliest

Answer:

Each ticket costs $9.4

Step-by-step explanation:

Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.

7.05 x 4 = 28.2 (Amount paid from all 4 friends)

Now divide 28.2 by the # of tickets they're paying for.

28.2/3 = 9.4 (Cost of each ticket)

Hope this helps! Please mark me as brainliest! :D

what number is 12% of 315

Answers

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.

Hi i need the answer to this asap please

2 divided by 3

please explain how you got answer like show work

please do not answer in decimal form or the answer from go ogle

and please dont just answer for points

Answers

0.66666666666
I got it from the internet?
The only way to answer it other than decimal form would be as a fraction. This would simply be 2/3 (two over three). It cannot be simplified any further, so that is your answer.

The number of board games cannot be negative. Write this constraint.

The number of role-playing games cannot be negative. Write this constraint

Answers

Step-by-step explanation:

回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否

Identify all the word phrases that can be represented using the expression 3t – 5.

(Choose 2)

Answers

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?

Answers

Answer: $4

Step-by-step explanation:

If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4

Answer:

$4

Step-by-step explanation:

divide 8 by two

to find the price of one prego pasta divide the cost of your object  by the amount of objects

Combine Like Terms:

7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard

Answers

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

what is the place value of 2 in 842567​

Answers

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

SOMEONE HELP MEEEEE PLEASEEEEE


Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)

Answers

D is the answer, not A

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

Answer:

BC is congruent to EC by definition of bisect.

<ABE is congruent to <BED by alternate interior angles.

<ACB is congruent to <ECD by vertical angle theorem.

Triangle ABC is congruent to triangle DEC by ASA congruence theorem

Answer:

Ooook. One thing at a time

C is the midpoint of AD and BE: The two segments bisects each other.

Being the midpoint AC≅CD and BC ≅CE.

The triangles are congruent by SSS.

Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.

Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick

Answers

Answer:

500

Step-by-step explanation:

Umm I dont know how to explain but im 100% sure

I got it right on my quiz so...

Answer: 500

Step-by-step explanation:

the first one

Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.

Answers

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answers

Answer:  Choice C

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

a = 1b = -3c = -1

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11

Answers

Answer:

y = -7x + 3/11

Step-by-step explanation:

Consider the line y = 3/5x + 4.

Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)

Answers

Answer:

y=3/5x + 2

Step-by-step explanation:

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

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

5y+5=3x+15

5y=3x+10

y=3/5x+2

You are paid 82.50 for 7 1/2 what is ur rate of par

Answers

$11 an hour

82.50/7.5= 11

hope this helps

Which number is both a factor AND a multiple of 4? 1,2,4,8

Answers

Answer:

1,2,4,

Step-by-step explanation:

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