An oatmeal container has a diameter of 9 inches and a volume of 239.4 in3. What is the lateral surface area of the oatmeal container? Hint: You have to use the Volume to find the height before you can calculate the lateral surface area. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

Lateral surface area = 106.4 [tex]in^{2}[/tex].

Step-by-step explanation:

Assumed that the oatmeal container has the shape of a cylinder. Its lateral surface area can be determined by:

lateral surface area = 2[tex]\pi[/tex]rh

But,

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

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

From the question, volume = 239.4 [tex]in^{3}[/tex], and diameter = 9 inches, then;

radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{9}{2}[/tex]

          = 4.5

radius = 4.5 inches

Thus,

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

239.4 = [tex]\pi[/tex]x [tex](4.5)^{2}[/tex] x h

          = 20.25[tex]\pi[/tex]h

h = [tex]\frac{239.4}{20.25\pi }[/tex]

  = [tex]\frac{11.8222}{\pi }[/tex]

h = [tex]\frac{11.8222}{\pi }[/tex] inches

Therefore,

lateral surface area = 2[tex]\pi[/tex]rh

                                = 2[tex]\pi[/tex](4.5)([tex]\frac{11.8222}{\pi }[/tex])

                                = 2 x 4.5 x 11.8222

                                = 106.3998

Lateral surface area of the oatmeal container is 106.4 [tex]in^{2}[/tex].


Related Questions

Which equation is equivalent to 2x+ 1.5 = 4.5
•2x+3=0
•x=3
•2x=6
•2x-3=0

Answers

2x-3=0
because once you subtract 4.5 from both sides to get 0 on one side then you get 2x-3=0

You are Gina versus the 40% of the students to apply. All the students in the University at six, 35% actually enroll. It's 10,000 students apply, how many actually enroll?

Answers

Answer:

1,400 students

Step-by-step explanation:

Calculation for how many actually enroll

First step is to calculate the numbers of students that was accepted

Numbers of students accepted=10,000 students*40%

Numbers of students accepted=4,000 students

Now let calculate the numbers of students that was enrolled

Students enrolled=4,000 students*35%

Students enrolled=1,400 students

Therefore the numbers of students that actually enrolled is 1,400 students

Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)

Answers

Answer:

yo

o.1 like it please o.1

The value of x is 63.435, which is 60 round to the nearest tenth of a degree.

Given:

Height = 40 feet.

Distance =20 feet.

To find the value of x.

sinθ = hypotenuse/opposite.

cosθ =  hypotenuse/adjacent.

tan θ = opposite/adjacent.

tan θ = 40/20 = 2

θ = tan ⁻(2) = 63.435

Therefore, 60 for x round to the nearest tenth of a degree.

Learn more about Application of trigonometry here:

https://brainly.com/question/11687813

#SPJ2

HELP! i don’t know which one it is

Answers

Answer:

40.2

Step-by-step explanation:

Answer:

40.2 yeah

Step-by-step explanation:

Jack had 3 bags of golf balls with b balls in each bag;
Then his friend gave him 6 more golf balls.

How many golf balls does jack have now?
Write your answer as an expression.

Answers

3b+6 is your answer.

Answer:

number of balls in three bags is 3b, so he has 3b+6 balls now

Price per volleyball if 6 volleyballs cost $18.00? Please I need helpppp

Answers

Answer:

The price per volleyball is $3.

Step-by-step explanation:

Divide $18 by 6 for the cost of each volleyball in which your final answer should be $3 per volleyball.

please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it? ​

Answers

Answer:

short .

short becomes shorter when you add er .

Step-by-step explanation:

Answer:

shorter

Step-by-step explanation:

short

shorter

Helppp plssss It’s all in the photo

Answers

Answer:

90 (its a square no?)

Step-by-step explanation:

The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?

Answers

Answer:

It is wrong

Step-by-step explanation:

y < 18

This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.

y > 18

This is read as y is greater than 18.

There is a difference between the numbers greater or less than 18 .

y must have numbers less than 18 and 21 is greater than 18.

Therefore it is wrong.

But to make it true we can multiply minus with the inequality y > 18

-y > -18

This reverses the inequality sign and it becomes

y< 18

The solution which is required.


Write the equation of the line in point slope form.
Y+4=-3(x+2)

Answers

Y+4= -3x - 6
Y= -4 - 3x -6
Y+3x= -10

12d^4/3d^2 shdhshbdbsnsns

Answers

Answer:

zip p0quo6or0r7ut t if

Step-by-step explanation:

ye at rdlrj8hj0

Answer:

[tex]4d^{2}[/tex]

Step-by-step explanation:

Divide the numbers like usual:

12/3 = 4

Note that when you divide powers with common base, you are actually subtracting the power:

[tex]\frac{d^{4} }{d^{2} } = d^{4 - 2} = d^{2}[/tex]

Combine the two for your answer:

[tex]4d^{2}[/tex] is your answer.

~

a clock bought for RS 120 and sold at 20 Percentage​

Answers

Answer:

Cost price of the cycle = Rs. 1200

Selling price of the cycles = Rs. 1500

SP > CP ⇒ there is a gain.

⇒ Gain = SP - CP = 1500 - 1200 = Rs. 300

∴ Gain Percentage =

CP

Gain

(100)%

=

1200

300

(100)%=25%

∴ The shopkeeper makes a profit of 25%

What is (60 times 8)-5- divided by 2

Answers

Answer:

60x8 480 -5 475 divided by 2 is 237.5

Step-by-step explanation:

Answer: 0.234375

Step-by-step explanation:

Conversion a mixed number 2 2/

3

to a improper fraction: 2 2/3 = 2 2/

3

= 2 · 3 + 2/

3

= 6 + 2/

3

= 8/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 5/

8

: 8/

3

= 5/

8

· 3/

8

= 5 · 3/

8 · 8

= 15/

64

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/

3

is 3/

8

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - five eighths divided by eight thirds = fifteen sixty-fourths.

PLEASE HELP ASAP I WILL MARK BRAINLIEST IF THERE ARE MULTIPLE ANSWERS!!!!!

Please graph the solution of x+8≥9 and take a picture

Answers

Answer:

Attached

Step-by-step explanation:

x+8≥9

x ≥ 9-8

x ≥ 1

picture one is two dimension and picture 2 is number line

.

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $3

Answers

Answer: $15

The original price of the mirror is unknown, so let's call it x.

The discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Step-by-step explanation:

Find the slope of each line

Answers

Answer:

The slope of this line is 4/1 or just 4.

Step-by-step explanation:

In order to get from one red dot to the other, you go up 4 and over 1. The entire line's formula is y=4x-2

I am thirsty but also thrifty so I want a drink that will quench my thirst and cost the least. Which of the following will quench my thirst and cost the least? Write the unit rate for each.
-A 12oz Pepsi $1.08
-A 20oz coke for $1.20
-A 24oz mountain dew for $1.68

Answers

You need to find the cost per ounce.
Just divide the price by the amount of ounces.
Once you do this, you get .09, 0.06, and 0.07.
The coke costs the least per ounce. It’s the one.

When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.

Answers

Answer:

Selling price= $580

Step-by-step explanation:

eGiving the following information:

Buying price= $400

Mark-up percentage= 45% = 0.45

The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.

Mark-up= buying price* Mark-up percentage

Mark-up= 400*0.45

Mark-up= $180

Now, the selling price:

Selling price= 400 + 180

Selling price= $580

40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST

The ratio of cows to chickens at Old McDonald’s Farm is 2:7. Select
all the farms that have a greater ratio of cows to chickens than Old
McDonald’s Farm.

1. ed’s Farm: 3 cows for
every 5 chickens

2. Pasture Farm: 2 cows for
every 9 chickens

3.Cluck & Moo Farm: 1 cow
for every 5 chickens

4. C & C Farm: 3 cows for
every 8 chickens

5. Family Farm: 1 cow for
every 3 chickens

btw: I added an extra 50 cause i feel nice today :>

Answers

Answer:

2. Pasture Farm : 2 cows for every 9  chickens & 4. C & C Farm: 3 cows for

every 8 chickens.  

* Please let me know if this helped you or tell me if one of my answers are wrong .

height versus age domain and range

Answers

Answer:

While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.

Step-by-step explanation:

PLEASE HELP ME ITS DUE IN 30 MINS

Answers

Step-by-step explanation:

I honestly dont know. Maybe you could try to multiply the numbers on the chart? I hope this helped:)

2 trains leave from the same point and travel along straight tracks that differ in direction by 72゚. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes

Answers

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

Gil charges $5 per bracelet plus $2 for each string colour. If Gil makes 3 bracelets
with x colours, write an expression that represents how much money Gil makes.

Answers

Answer: 15 + 2x

Step-by-step explanation:

5b + 2x

5 (3) + 2x

15 + 2x

I think I'm right so I hope it helped!!

Expression for this word problem: $5x + 2.
Now, if Gil makes three bracelets, then we will apply and substitute this into our equation:
$5(3) + 2 = $17.00

HELP ASAP
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for
chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked
cheesecake
Part A: Summarize the data by writing the values that the letters A to l in the table below represent. (5 points)

Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake? (3 points)
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer. (2 points)

Answers

A

Like choc cake and cheesecake- 15

Like choc cake no cheesecake- 35

Total- 50

No choc but cheesecake- 25

No choc no cheesecake- 25

Total- 50

Solve for all values of x by factoring.
x^2+ 7x = 0

Answers

Answer:

x = 0, -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients/DegreesFactoringSolving QuadraticsMultiple Roots

Step-by-step explanation:

Step 1: Define

x² + 7x = 0

Step 2: Solve for x

Factor:                              x(x + 7) = 0Solve roots:                      x = 0, -7

PLEASE HELP I WILL GIVE MORE POINTS IF YOURE CORRECT!!!
Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable

y= 4x+5

Answers

Answer:

infinite solutions

Step-by-step explanation:

Please don’t ignore I really need some help on this

Answers

45.50(original price) * .8 (discount) * 1.05 (tax) =$38.22(final answer)

Answer:

38.22

Step-by-step explanation:

Remark

You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).

Discount

45.50 * 20/100 = 9.10

45.50 - 9.10 = 36.4

Sales Tax

46.4 * 5/100 = 1.82

Total Cost

Total Cost after the discount = 36.4 + 1.82 = 38.22

Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110

Answers

A- 30
B- 3
C- 30
D- 3
E- 3

(A and C)

Divide. Write the quotient in the lowest terms. 3/5 divided by 2 1/2

Answers

Answer:

6/25

Step-by-step explanation:

2 1/2 = 5/2

3/5 / 5/2 = 3/5 * 2/5 = 6/25

write:
3^-4 in standard form

Answers

Answer:

[tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Key skills: Exponents + Fractions

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

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