A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 2ft and a radius of 5ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be 8572.20. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Please give an understandable step-by-step explanation. Thank you !!

Answers

Answer 1

Answer:

$39 per square foot.

Step-by-step explanation:

The cylinder has a height of 2 feet and a radius of 5 feet.

The total cost of the metal will be (assuming US dollars) $8572.20.

And we want to determine the cost per square foot.

First, we can find the surface area of the cylinder. The surface area for a cylinder is given by the formula:

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where r is the radius and h is the height.

Since the radius is 5 feet and the height is 2 feet and using 3.14 for π, the surface area is:

[tex]SA=2(3.14)(5)^2+2(3.14)(5)(2) =219.8\text{ feet}^2[/tex]

Therefore, to find the cost of metal per square foot, we can divide the total cost over the amount of surface area. Hence:

[tex]8572.20 / 219.8= \$ 39 \text{ per square foot}[/tex]

So, the metal costs $39 per square foot.


Related Questions

????????????????????????​

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Answer:

um a

Step-by-step explanation:

I'm pretty sure (98%) it is A.

Let me know if I'm wrong.

can anyone solve this?
6x^3 + 4x^2 - 10x

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The answer is,

[tex]2x(3x + 5)(x - 1)[/tex]

sorry if wrong.

x + 3y = 1 −3x − 3y = −15 solved by substitution please show work so i can understand

Answers

Answer:

x=7

y= -2

Step-by-step explanation:

x+3y=1 ---------------- (1)

−3x−3y=−15 -------------(2)

Solve Equation (1) for x

x=1−3y

Substitute x=1−3y in equation (2)

−3(1−3y)−3y=−15

−3+9y−3y=−15

−3+6y=−15

6y=−15+3=−12

y=−12/6=−2

y=−2

Substitute y=−2 in equation (1)

x+3(−2)=1

x−6=1

x=1+6=7

x=7

Find the domain when f (x) = 5.
х
-5
-1
9
4
5
8
f(x) -6
-6 | 0

Answers

Answer:

Pues la función de 5 seria 4 porque si te fijas en la X es (4)

Solve the equation and check the solution b - 1/4 = 3 1/2

Answers

Answer:

b = 15/4

Step-by-step explanation:

B=7/2+1/4
B=(7/2*2/2)+1/4
B=14+1/4=15/4
B=15/4 or 3 3/4

Can someone pls help meee

Answers

No it’s not the same , pretty sure because if you look at the yds for each length and weight from two shapes you can tell one of them is bigger than the other.

(4 - 1+ 3/3) 15
What is the first operation you should do?
3 points
O (348/8)15
0 (4-1 4 1945
0 (4-14 8/40)
(4 - 1 + 818) x 5
Solve this expression

Answers

Solve for what expresssion don’t

Help will mark Brainliest graph is then show me a pic pls

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Answer:

Is this what you are looking for?

need help to solve x²=256

Answers

I think it’s X = 16, -16
Answer: X = -16, X = 16

i have 5 minuets please answer (image included)

Answers

Answer:

The second one !!

Step-by-step explanation:

You always start from the origin... (0, 0) !! From the bottom of that function, from the origin, you would move to the right 1, down 4 in order to get where the graph is in the picture !!

i hope this made sense... have a good day !

Find the length of the third side of a triangle that has a hypotenuse of 15m and a leg of 12m

Answers

Answer:

9m

Step-by-step explanation:

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise.

3x + 2y = 7

y = -3x +11

Answers

Answer:

15

Step-by-step explanation:

3x + 2y = 7

y = -3x +11

lee has 14 blueberry scones and 35 raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of blueberry scones and an equal number of raspberry scones. What is the greatest number of bags Lee can​ fill?

Answers

Answer:

7 is the greatest number of bags Jason can fill.

Step-by-step explanation:

Given: Jason has 14 raspberry scones and 35 blackberry scones.

help pleaseeeeeeeeeeeeeeeeeee brainliest will be coming to you

Answers

Answer:

8 in or .67

Step-by-step explanation:

Answer:

1 foot

Step-by-step explanation:

he used up 3/4 of it so 16x0.75=12 to find remaining length subtract 16-12=4

so there is a 4 foot board left then he gives 1/4 of that to his brother 4x0.25=1

so he gave his brother 1 foot of wood


Match each whole number with a rational exponential expression

Answers

1- 512
2-27
3-216
4-8
5-729
6-343

Cassidy the Clown does face painting at the city carnival. She paints 8 faces every 21 minutes. Write an equation that related the number of faces she paints (y) and the time she spends painting (x)
ANSWER WITH A PICTURE ASAP

Answers

Answer:

8y=21x

Step-by-step explanation:

i'm not sure how to draw this out in a picture but the equation is above.

like the question states, Cassidy paints 8 faces in every 21 minutes. the amount of time she spends painting one face would be figured out by dividing 21 by 8 giving you 2.625minutes so i would just say around 3 minutes. so to draw a picture maybe just draw 8 faces and then circle them and say 21 minutes and then put x (to show the time she spent painting each face) under the faces in the picture and then show your work solving this.

in order to find out the ratio of time spent drawing one person's face we have to take the information given and divide the total of 21 minute span by the 8 different faces she painted in order to find how long she spends on 1 face.

hope this helps, if it did please make sure to leave a like, rate, and give me the brainliest if possible!

thanks have a great day!

If 1+ 6/x = -5, then x =

Answers

Answer:

-1

Step-by-step explanation:

1 + 6/-1 = 15

6 divided by -1 =-6 and -6+1=-5

What is the value of -12/a if a = -4?

A: -3
B: -1
C: 3
D: 4

Anyone help please?
:(

Answers

Answer:

C

Step-by-step explanation:

-12

---- if a = -4

a

-12

-----

-4

= 3

share 747 in the ratio 2:7

Answers

Answer:

Step-by-step explanation:

166:581

identify the coefficient of the term -3gh question worth 21 points
A. -3
B. 3
C. g
D. gh

Answers

Answer: -3
Explanation: the coefficient is the number in front of the variable(s).
Example: 4a
the coefficient of this would be 4.

Please explain and show work

Answers

Answer:

a. 1

b. any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Step-by-step explanation:

Answer and explanation:

a) This value is equal to one because it is just the number divided by itself.

b) Since any number divided by itself is equal to 1, 6^3/6^3 also has to equal to one. This also means that when we bring the 6^3 up to the numerator, the equation 6^3-3, which simplifies into 6^0 also has to equal 1, because it is equivalent to being divided by itself.

Hope this helps!!

A $100 pair of headphones is marked down by 10% and you also have a 20% off coupon. What is the final price, before tax?

Answers

Answer:

$72

Step-by-step explanation:

100 - 10% = 90

90 - 20% = 72

Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose. 1. What is the vertical intercept? What does it mean in this situation? 2. What fraction of the medicine remained after one hour? 3. Write an equation that represents the amount of medicine, a, after t hours.

Answers

Answer:

I don't know 1

2. 3/4

3. y= 1000(0.75)^x

Step-by-step explanation:

According to the information depicted on the graph:

Vertical intercept = 1000

This is the initial Value of acetaminophen in the body just after taking the normal dose ; At time, t = 0

Fraction left after 1 hour = 0.75

Amount after t hours = [tex]y(t) = 1000(0.75)^{t}[/tex]

The vertical intercept is the value of the y - intercept, where the line crosses the y - axis. ; vertical intercept = 1000

The y - intercept is the amount of the drug in the body 0 minutes after taking it.

Fraction of drug left after one hour :

t(1) ÷ t(0) = 750 / 1000 = 3/4 = 0.75

Amount of medicine left after t hours :

Initial amount(rate of decrease)^time

[tex]y(t) = 1000(0.75)^{t}[/tex]

Hence, the function which models the graph is [tex]y(t) = 1000(0.75)^{t}[/tex]

Learn more : https://brainly.com/question/10992447

answer for brainliest

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Answer:

A = 452.16

Step-by-step explanation:

A = 1/4 x 3.14 x d^2

Answer:

75.36

Step-by-step explanation:

did math

James is practicing proving geometric theorems. He writes the statements needed for the proof below in different boxes and mixes them up so they are not

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Answer:

ao first you yoinl doink

Step-by-step explanation:

yoink if yoink is doink and doink is moink than fonk wonk is ey yo on the eebo

What is the best buy for the following advertise sale on pop A(eight cans for $4.88 B(10 cans for $5.80 or C(3 cans for d cans for $7.20

Answers

I’d say B.

Cause you can get 10 cans of pop for only 92 cents more.
If this helped mark me brainliest please!!

Buying 10 cans for $5.80 is the best deal.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

We have

Cost of eight cans is $4.88

cost of one can = [tex]\frac{4.88}{8}[/tex] = $0.61

Cost of 10 cans is $5.80

cost of one can = [tex]\frac{5.80}{10}[/tex] =$0.58

Cost of 3 cans is $7.20

cost of one can = [tex]\frac{7.20}{3}[/tex] = $2.4

Hence, buying 10 cans for $5.80 is the best deal.

Learn more about the unitary method here:

https://brainly.com/question/22056199

#SPJ2

The vertices of a triangle are A(-1,4), B(4, 5),
and C(6, -2). After a dilation with center (0,0)
and a scale factor of 3, the vertices are translated
T(-2,5).
a. Is the image congruent to the original triangle?
Is the image similar to the original triangle?
b. What are the vertices of AA'B'C', the final
image?

Answers

Answer:

sim tem final sim amigo se eu erra mi disputa por favor

The sum of a number and negative six is greater than 9

Answers

Answer:

x

6

Step-by-step explanation:

"Six less than.." means "Subtract 6 from".

Do not confuse this with "Six less..." which means "Subtract from 6".

Confusing, I know.

We know that "Double a number" means

2

x

, where

x

is your mystery number.

Therefore, we have:

2

x

6

, which translates to "6 less than 2x" or "6 less than twice a number"

Anyone know? Please

Answers

Answer:

B

Step-by-step explanation:

X = 3

Y= 5

rewrite the formula to find I.
A=Iw​

Answers

Answer:

l=a/w

Step-by-step explanation:

In order to find I you would need to isolate it. In order to do this, you divide both sides by w and end up with a/w=l.

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