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

Let p(x) = -2x - 9. If p(x) = -19, find x.

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: Flip the equation.

−2x−9=−19

Step 2: Add 9 to both sides.

−2x−9+9=−19+9

−2x=−10

Step 3: Divide both sides by -2.

Exact Form:

x = 9/17

Decimal Form:

x = 0.52941176…

Edit: "but what are the steps to get 9/17"

1. Move all terms containing x to the left side of the equation.

2. Divide each term by −17 and simplify.

On the number line, Point B is between points A and C . The distance between points A and B is 1/3 of AC. What is AB?

Answers

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

HELP it’s like 3:00 A.M and this is due at 3:20 A.M and my brain is completely dead.

Answers

Answer: Bigger X = 17       Smaller X = 1/3

Step-by-step explanation:

for the larger number

1x - 8 = 9 (equation)

X = 17 (the result)

for the smaller number

9x - 2 = 1 (equation)

X = 1/3 (the result)

line with a slope of 2 and passes through point (3, 5)

Answers

Answer:

i dont get what you are trying to say is their a graph u can show

Step-by-step explanation:

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 2x - 1 ← equation of line

i need some help with this

Answers

Answer:

d

Step-by-step explanation:

hope this is right

The answer is d i think

The expression below can be written in simplest form as
4(2x-5)+7(x+2)

Answers

4(2x-5)+7(x+2)

bracket means multiplying

do 4(2x+5) first

4*2x=8x

4*-5=-20

7*x=7x

7*2=14

8x-20+7x+14

do the x first

8x+7x=15x

-20+14=-6

answers: 15x-6 or -6+15x

Which expression could be used to determine the cost of a $50 video game after a 20 percent discount?
50 dollars (0.20)
50 dollars minus left-bracket (50 dollars) (0.08) right-bracket
50 dollars minus 0.80
50 dollars (0.80). please a b c or d?

Answers

Answer:

d

Step-by-step explanation:

to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50

this is the same as 50(0.80)

I’m pretty sure it’s d, because 50 (0.80) = 50 x 0.80 which equals 40 which is the 20% discount off of 50

POINTS plus will mark BRAINLIEST for the correct answer

Answers

Answer:

I believe the answer is 9

Step-by-step explanation:

The most balloons she has is 180 and she can make 20 animals with that so 180/20=9

The answer to your question is 9

i had 50 candies yesterday, and now i have 35. find the percent of decrease

Answers

Answer: you lost 15 candies

Step-by-step explanation:

Answer:

30% is the decrease percent

simplify I know I spelled it wrong

Answers

Answer:A

Step-by-step explanation:

Answer:

D ) 25t + 10

Step-by-step explanation:

Re-order terms so constants are on the left:

(5t+2) 5

5 (5t +2)

Distribute:

5 (5t +2)

25t +10

Answer:

25t +10

A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese? ​

Answers

ounces of cream cheese for every ounce of sugar = 12/15 = 4/5 ounces

ounces of sugar for every ounce of cream cheese = 15/12 = 5/4 ounces

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.

Answers

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four year

Answers

Answer:

Step-by-step explanation:

Step one:

given data

Maya

P=$1650

r=5%= 0.05

t= 4 years

The simple interest expression is

A=P(1+rt)

A=1650(1+0.08*4)

A=1650(1+0.32)

A=1650(1.32)

A=1650*1.32

A=$2178

James

P=$1600

r=8%= 0.08

t=4years

The compound interest expression is

A=P(1+r)^t

A=1600(1+0.08)^4

A=1600(1.08)^4

A=1600*1.360

A=$2176

After 4 years Mayas' balance is $2178

After 4 years James' balance is $2176

the difference is =2178-2176=$2

Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?

Answers

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

Answer:

she can buy 9 pencils

Step-by-step explanation:

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

Need Answer ASAP only 5 min

Answers

70 mb is the answer

Answer: 70

Step-by-step explanation:

1. Divide 528 by 264 to get 2

2. Do 2 times 35 to get 70

1. When one-half of a number is subtracted
from its thrice, it gives 2500. Find the
number.​

Answers

Answer:

let the number be x

thrice of the number=3x

one-half of the number=(1/2)x

so from the expression we:

3x-x/2=2500

(6x-x)/2=2500

6x-x=2*2500

5x=5000

x=5000/5

x=1000

X=-4y + 4
2x + 8y =8
How many solutions are there?

Answers

Answer:

One solution.

Step-by-step explanation:

2. Craig read 3 books each week for 3 weeks. Joe read 4 books a week for 3 weeks. How many more books did Joe read? Choose the answer that has the correct expression and the correct answer to the question

4x3+4x4; Joe read 28 more books than Craig.

0 4x3 - 3x3; Joe read 27 more books than Craig.

3x3-4x 3; Joe read 3 more books than Craig.

0 4x3 - 3x3; Joe read 3 more books than Craig

Answers

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

[tex]Difference = 4 * 3 - 3 * 3[/tex]

[tex]Difference = 12 - 9[/tex]

[tex]Difference = 3[/tex]

Hence, Joe reads 3 more books

Option D answers the question.

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

Qué procedimiento debe realizar para convertir kilómetros a mililitros

Answers

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

Using the Incenter P, find the measure of ∠ZPX.




117°

140°

64°

129°

42°

132°

Answers

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

2. Multiply and simplify: (x - 2)(2x + 3)
Answer

Answers

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

Answer:

2x^2-x-6

Step-by-step explanation:

use foil,

1) x*2x=2x^2

2) x*

majikalmochi avatar

i sent too early lol

2) x*3= 3x

majikalmochi avatar

3) -2*2x=-4x

4) -2*3=-6

majikalmochi avatar

now put that all together

2x^2+3x-4x-6

simplify

2x^2-x-6

I WILL GIVE YOU BRAINLIEST Simplify the expression using the distributive property.
4(3x + 2)
A. 7x + 8
B.12x + 2
C. 7x + 6
D.12x + 8

SHOW YOUR WORK PLZSSSSSSS

Answers

Answer is

D





Like the other person said

What is the slope of y = -42 - 3?

Answers

I think is -42 the answer

Solve
12x - 4 = -3 +3

Answers

12x-4=-3+3
+4 +4
12x = 1+3
12x =4
/4 /4
x =1

Answer:

Exact answer: 1/3   Decimal Form : 0.3

Step-by-step explanation:

Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely

Answers

Answer:

a. Point.

b. Vertex.

c. Line.

d. Line segment.

e. Ray.

Step-by-step explanation:

a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.

b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.

c. Line: is an infinite number of points extending in opposite directions that has only one dimension.

d. Line segment: is part of a line that has two endpoints.

e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.

If b(x) = negative2(x​​minus50), what is the value of b(20)?

Answers

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

what is the equation of the line in slope intercept form

Answers

Answer:

y=-5x

Step-by-step explanation:

yea im very slow so i need the answer pleaseeee!!

Answers

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

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