A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.

Answers

Answer 1

Answer:

h = 5.42

r = 5.42

Step-by-step explanation:

Find h with respect to r:

V = πr²h = 500

h = 500/πr²

Plug this into the surface area equation:

SA = πr² + 2πrh

= πr² + 2πr(500/πr²)

= πr² + 1000/r

Differentiate and set to 0, solve for r:

dSA/dr = 2πr - 1000/r² = 0

2πr = 1000/r²

r³ = 500/π

r = (500/π)^1/3

≈ 5.42 cm

find h:

h = 500/πr²

= 500/[π(5.42)²]

= 5.42cm


Related Questions

Name a set of vertical angles

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Answer:

EKH and FKG

Step-by-step Explanation:

you could choose any sets with a common vertex. i just chose those two

Need help plssssssssssss

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Answer:

189

Step-by-step explanation:

can you help me here plz

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Answer:

Your answer is B

Step-by-step explanation:

[tex]\sqrt{-81} =\sqrt{81i^{2} } or 9i.\\[/tex]

Hope this helps :D

Answer:

Step-by-step explanation:

√-81 = 9i

Since the root is a negative, you need the i in the answer

PLEASE HELP! I'M STUCK!

Answers

Anwser

15/ 25

Step by step explanation

With exponents you don’t multiply them by the number you multiply them the amount of times the number says so if a is one you multiply 1×1×1 which is one then you move on to B both times has it exponent of 2 so 3×3 is nine and 9×1 is 10. And since there is no exponent Over C, you can just add 10+5 which is 15

Now on the bottom half you see that C doesn’t have an exponent so we can figure out a is 1 then, do you see that b has the same exponent of two we are just going to bring that nine down to the lower half now as you can see, C has an exponent 5×5×5 is 15 and 15+10 = 25

Ps. Hope this helps!

Brainliest?

Answer:

Step-by-step explanation:

a³ + b² +c²/a + b² + c³=1³ + 3² + 5/1 + 3² + 5³

=1 x 1 x 1 + 3 x 3 + 5/1 + 3 x 3 + 5 x 5 x 5

=1 + 9 + 5/1 + 9 + 125

=15/135

=1/9

is my answer right or do i need to change it

Answers

Answer:

It’s right!

Step-by-step explanation:

It’s correct no need to change it

Which equation has a slope of -2 and passes through the point (3,-4)

Answers

Answer:

B. y = -2x + 2

?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?

Answers

Answer 10$ + 8$+5$= answer that first.

Step-by-step explanation:

Plz help i dont understand this at all

Answers

Answer:

(-4,-1)

Step-by-step explanation:

Look at where the lines on the graph intersect, then find the point.

Answer:

(-4, -1) I believe I'm not 100% Sure it has been a while since I have done graphs

I'm sorry if it is wrong

What type of correlation is the graph below?
a
No correlation
b
Negative
c
Quadratic correlation
d
Positive

Answers

Answer:

C I think

Step-by-step explanation:

Can someone help me with this geometry proof?

Answers

Answer:

Step-by-step explanation:

IM LEARNING THIS TOO LOL

angle one and angle 2 are congruent because of the corresponding angles theorem

angles 2 and 3 are linear pair so 1 plus 2 equals 180

i believe you can use the transitive property

In 1992, 104 million voters participated in the federal election. In 1996, 96 million voters
participated in the federal election. Find the rate of change of voters per year.
HELP ASAP

Answers

Answer: 8 million people

Step-by-step explanation:

Plz brainliest

Find the values of x and y

Answers

Answer:

x = 8

y = 21

Step-by-step explanation:

The angle (7x + 12)° and the angle (12x-28)° are alternate interior angles and so has got the same measurement

7x + 12 = 12x - 28

12 + 28 = 12x - 7x

40 = 5x divide both sides by 5

8 = x

The sum of angle (12x - 28)° and (9y - 77)° must be equal because they make a straight line with the measure of 180°

12x - 28 + 9y - 77 = 180 we already found the value of x as 8 so let's rewrite the equation

12 × 8 - 28 + 9y - 77 = 180

96 - 28 - 77 = 180 add like terms

9y - 9 = 180

9y = 189 divide both sides by 9

y = 21

explain what 9 represents in each of these numbers

a19
b 91​

Answers

Answer:

a) 9 is in the ones place.

b) 9 is in the tens place.

Answer:

a=units b=tens

Step-by-step explanation:

What does 0 represent on the number line?

Answers

Answer: So zero represents the point when locating a point on the number line like negatives and positives

Anju wants to serve 0.75 of the pizza she made to her family for dinner. What fraction is equivalent to 0.75?​

Answers

Answer:

3/4

Step-by-step explanation:

0.75 is equal to three fourths

Answer:

3/4 is equivalent to 0.75

Step-by-step explanation:

Hope this helps c:

At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.

Please write the two equations algebraically and then solve :)

Answers

Answer:x = 200 students

y = 300 non-students

Step-by-step explanation:

5x + 10y = 4000

x + y = 500

Set y = 500-x

5x + 10(500-x) = 4000

5x + 5000-10x

-5x + 5000 = 4000

-5x = -1000

x = 200 students

y = 300 non-students

Let's double checks

5(200) + 10(300)

1000 + 3000 = 4000

The school bought a new computer for me for $960. If that is 120% of what
the store paid for it, how much did the store pay for it?

Answers

Answer:

The store paid $800 for it

Step-by-step explanation:

let x be the value the store paid for it

120/100 * x = 960

120x = 96000

x = 96000/120

x = $800

PLEASE HELP! I’ll give brainliest.
Find the y-intercept of the line on the graph.
Enter the correct answer.

Answers

The y intercept is -2

If two 12-sided dice are rolled, what is the probability that both numbers will be even?
ANSWERS:
1/2
73/144
1/4
71/144

Answers

1/4 I think, I’m not sure

The probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given that two 12-sided dice are rolled and need to calculate the probability of getting an even number.

Number of favorable outcomes = 6 x 6 = 36

Number of sample = 12 x 12 = 144

The probability of getting an even number will be calculated as:-

Probability = Number of favorable outcomes / Number of sample

Probability = 36 / 144

Probability  = 1 / 4

Therefore, the probability that both numbers will be even will be ( 1 / 4 ). The correct option is C.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

Which equation represents the relationship between x and y?

A) y= x + 3

B) y= 3x

C) y= x^2

Answers

Answer:

y=x +3

Step-by-step explanation:

this is the equation because it shows the actual relationship between x and y

7 Find the slope ( 2, -3) (5, -4)​

Answers

Answer:

m=−1/3

Step-by-step explanation:

12, 14, 17, 18
What is the mean?

Answers

15.25, you add them all together which would equal 61 and then divide by 4 since there’s 4 numbers

Answer:

The mean is 15.25.

Step-by-step explanation:

First, we need to be sure we know that the mean is the average number in the group of numbers. That doesn't mean the most repeated or the number in the middle. Simply, the average.

To find the mean of a group of numbers you simply add them all together and divide by the number of numbers. So, let's solve.

12 + 14 + 17 + 18

= 61 ÷ 4

= 15.25

So the mean of 12, 14, 17, and 18 is 15.25.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

How do I write that out

Answers

Answer:

just type in -3

Step-by-step explanation:

6/11 I believe it should be

BRAINLISTS!! 35 (69) points !!

match each equation with its solution.

A) -1.4 n + 2.1 = 6.58
a) n = -32
B) 4 n - 2 3/4 = -22 3/4
b) n = -5
C) 5.7 n + 4.1 = 2.96
c) n = -0.2
D) n/8 + 1/2 = -3 1/2
d) n = -3.2

Thank you..​

Answers

Answer:

(A) and c

(B) and a

(C) and d

(D) and b

Step-by-step explanation:

these are from the calculations i got, what you do is minus the two answers you have to find n

For equations,

A) -1.4 n + 2.1 = 6.58 then n = 3.2

B) 4 n - 2 3/4 = -22 3/4 then n=24

C) 5.7 n + 4.1 = 2.96 then n=-0.2

D) n/8 + 1/2 = -3 1/2 then n=24

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A) -1.4 n + 2.1 = 6.58

Subtract 2.1 on both sides

1.4n=6.58-2.1

1.4n=4.48

Divide both sides by 1.4

n=3.2

B) 4 n - 2 3/4 = -22 3/4

4n-11/4=-85/4

4n=85/4+11/4

4n=96

Divide both sides by 4

n=24

C) 5.7 n + 4.1 = 2.96

5.7 n  = 2.96- 4.1

5.7n=-1.14

n=-0.2

D) n/8 + 1/2 = -3 1/2

n/8 = -3 1/2-1/2

n/8 = -5/2-1/2

n/8 = -3

n=-24

Hence, equations A) -1.4 n + 2.1 = 6.58 then n = 3.2

B) 4 n - 2 3/4 = -22 3/4 then n=24

C) 5.7 n + 4.1 = 2.96 then n=-0.2

D) n/8 + 1/2 = -3 1/2 then n=24

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

y = (x - 4)(x-8)
Distribution

Answers

Answer:

[tex]y= x^{2} -12x+32[/tex]

Explanation:

[tex]y=x^{2} -8x-4x+32\\y= x^{2} -12x+32[/tex]

-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5

Answers

Answer:

I am sorry what are you showing

I need help ASAP please

Answers

Answer:

4th one is correct

Step-by-step explanation:

Joan can mow a 10-acre field in 4 hours. How long would it take her to mow a 8-acre field? ​

Answers

Answer:

Step-by-step explanation:

10/4=2.5

8/2.5=3.2

3.2 hours

Can someone help me ????

Answers

I think that the best answer is the second one
8x^2+1x-4

Hope you get it right :D
There is a program for solving math equations I'm looking for

3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3

Answers

Answer:

The correct answer is A or option 1

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