A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)

Answers

Answer 1

Answer:

Step-by-step explanation:

V = 4πR³/3 + πR²h

h = (V - 4πR³/3) / πR²

A =  4πR² + 2πRh

A =  4πR² + 2πR((V - 4πR³/3) / πR²)

A =  4πR² + 2((V - 4πR³/3) / R)

A =  4πR² + 2V/ R - (8πR³/3) / R

A =  4πR² + 2(14)/ R - 8πR²/3

A =  (4π - 8π/3)R² + 28/R

A =  (4π/3)R² + 28/R

dA/dR = (8π/3)R - 28/R²

       0 = (8π/3)R - 28/R²

28/R² = (8π/3)R

     R³ = 28(3 / 8π)

      R = 1.49513...

      R = 1.50 cm

which makes the cylinder height 0.00 cm. The figure is a sphere.


Related Questions

Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly. How much should each person pay?

ill give brainliest plz help

Answers

Answer:

10.65

Step-by-step explanation:

just divide 5 [because there are five people] with $53.25 [the amount of money]

then the answer will be 10.25

thank you

hope it was helpful

plz help with this!!!

Answers

Answer:50

Step-by-step explanation:

Simplify the linear expression

-5/8a+2/3-1/4a-5/6

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

should I buy a new gold ring today ​

Answers

Answer: go for it!

Step-by-step explanation:

What property is -5(-9x^2+8)+20=10x^2-15

Answers

Answer:

distributive?

Step-by-step explanation:

-5(-9x^2+8)+20=10x^2-15

simplify both sides

45x^2-20=10x^2-15

35x^2=5

x^2=1/7

x=1/sqrt(7)

distributive?

Write the expression that represents the sum of
double a number and triple a number.

Answers

Answer: let x = the "number"

2x + 3x is the expression

Step-by-step explanation:

What is two divided by one thousand two hundred and twenty eight

Answers

Answer 1/614

Step-by-step explanation:

12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?​

Answers

Answer: Spencer is 24.75 inches tall

Step-by-step explanation: Just subtract 6 from 30.75 to find the answer

Answer:

The percentage increase in Spencer's height is 125%

Step-by-step explanation:

Solution:

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).

Answers

Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

A punch recipe calls for 1 1/2 quarts of sparking water and 3/4 of a quart of grape juice.
How much grape juice would you need to mix with 3 3/4 quarts of sparkling water?

Answers

Answer:

15/8 quarts is needed.

Step-by-step explanation:

Hoped this helped.

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx

Answers

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]

Hence, the distribution for the total amount of product has mean and standard deviation given by:

[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]

[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{575 - 540}{25}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at https://brainly.com/question/22934264

geomtry plzzz help 15 points

Answers

Answer:

19

Step-by-step explanation:

they give you xz, and they want half, so just divide 38 by 2

Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).

Answers

Answer:

i think its c in my opionion not sure tho

Answer:

D. 13/36

Step-by-step explanation:

Apply the distribute property, substitute the given numerical value given:
9(-3r -11), r=10

Answers

Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

How many tens equal 6 thousands

Answers

600 is the correct answer
the answer is= 600 tens

Help me with this pls

Answers

Answer:

Step-by-step explanation:

What is a common denominator for 1 3/4 and 1 4/5

Answers

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

Find the product -5.5(-1/5)?
a. -1.1
b. 2.75
c. 1.1
d. -0.275

Answers

The answer is 1.1 brainliest

Answer:

c. 1.1

Step-by-step explanation:

-5.5(-1/5) = 5.5/5 = 1.1

HELP PLEASE I WILL MARK BRAINIEST WHEN ABLE TO

An expression is shown below:

the square root of 18 plus the square root of 2

Which statement is true about the expression?

It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 3 times the square root of 2.
It is irrational and equal to 3 times the square root of 2.

Answers

Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

does the graph represent a function?

Answers

Answer:

No

Step-by-step explanation:

yes it is

for it to not be a function it would need to have a curve or somthing that make it go somehwere else

Find the following limit without using a graphing calculator or making a table.

Answers

Answer:

Step-by-step explanation:

OMG HELP RN

On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.

Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h

Answers

Answer:

C would be the answer

Hope this helps!

Pythagorean theorem

How do you visualize it and and solve it drawn out​

Answers

Answer:

so using the Pythagorean theorem is simple. what you want o do for this question is to make a graph to visualize it. since the top of the ladder is 7 feet up the house, you would go up 7 points, and its 2 1/2 feet from the house, you would move out 2 1/2 points. The ladders length is the hypotenuse, or the longer side that you get when you connect those two points.

Step-by-step explanation:

Which expression is equivalent to 125 in expressional form

FAST PLS

Answers

Start by prime factorising 125.

125 = 5 × 5 × 5

If you check the given options, the correct answer is :-

5³ (3rd option)

Verification:-

5³ = 5 × 5 × 5 = 125

Note :-

The 2nd option also gives 125, but they've asked for the answer in exponential form, so the 3rd option is the correct one.

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Option c- 5 raised to power of 3

answer this question fast

Answers

Answer:

corona virus sjuwiwiwoe

Step-by-step explanation:

iaisowowow

what as 9 squared? i need this

Answers

81 I think, I hoped this helped

Simpson office furniture pays Tom Russell a $2490 monthly salary plus a 9% commission on merchandise he sells each month .Assume Tom's sales were $88,000 for last month.​

Answers

Answer:

Amount Tom was paid for his sales last month 88,000 x9%= $7920.00

Step-by-step explanation:

solve pls brainliest

Answers

2/6 should be the answer

Answer:

1/3

Step-by-step explanation:

Solve for x, please help, thank you

Answers

Answer:x=6

Step-by-step explanation:

x+5x=36

Step 1: Simplify both sides of the equation.

x+5x=36

(x+5x)=36(Combine Like Terms)

6x=36

6x=36

Step 2: Divide both sides by 6.

[tex]\frac{6x}{6} =\frac{36}{6}[/tex]

x=6

Answer:

x=6

Which job paid better 30 minutes for $10.00, 3.5 hours for $30.00, 2 hours for $30.00

Answers

Answer:

30 minutes for $10.00

Step-by-step explanation:

30min=$10

60min=$20

90min=$30

210min(3.5 hours)=$30

120min(2hours)=$30

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