Mathematics Middle School

A cylinder with volume of 143^3 cm has 3 spheres inside. Each sphere has a radius of 2cm. What is the volume in the cylinder not taken up with spheres (blank space)?

Please provide the equation and steps you used!

Answers

Answer 1

Answer:Equation: V = πr^2h

Steps:

1. Calculate the volume of each sphere: V = 4/3πr^3 = 4/3π(2cm)^3 = 33.51 cm^3

2. Calculate the total volume of the 3 spheres: 3 x 33.51 cm^3 = 100.53 cm^3

3. Calculate the volume of the cylinder not taken up with spheres: 143^3 cm^3 - 100.53 cm^3 = 42.47 cm^3

Step-by-step explanation:

pls mark brainliest if its correct !!

Related Questions

Jason is training to run a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?

A. 4m – 15 ≥ 35

B. 4m + 15 > 35

C. 4m + 15 ≥ 35

D. 4m + 15 ≤ 35

Answers

Answer:

C

Step-by-step explanation:

it says a minimum of 35 miles so that means it can be equal to 35 or more. He only ran 15 miles so he would have to run more. That’s why there would be a plus sign

The answer is c because he need to run in 4 more day and so 4m + 15 > would be 35 your welcome

Select the expression below that is equal to 5(11 - m).
A. 55 - m
B. 5m - 55
C. 55 - 5m
D. 16 - m

Answers

Answer:

C

Step-by-step explanation:

5*11=55

5*-m=-5m

Your welcome

The answer is c.
Do the distributive property to find the answer.
55 - 5m
Hope this helps

hewlpp!!!!!!!! please!!

Answers

Answer:

x=55

Step-by-step explanation:

(2x+10) + (x+5) = 180

3x+15=180

3x=165

x=55

the answer of X is 55 x=55

What information can you learn from reading a box plot graph? Be sure to explain each part of this type of graph and the information you can obtain about the data in the graph. brainiest is on the line

Answers

Answer:

A boxplot is a standardized way of displaying the distribution of data based on a five number summary minimum, first quartile, median, third quartile , and maximum. It can tell you about your outliers and what their values are. It can also tell you if your data is symmetrical, how tightly your data is grouped, and if and how your data is skewed.

Step-by-step explanation:

hope this helps

The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

A. an = 4 · (1/2) n - 1
B. an = 2 · 4 n - 1
C. an = 32 · 2 n - 1
D. an = 4 · 2 n - 1

Answers

Answer: The correct answer would be

D. an = 4.2n-1

Step-by-step explanation: First, calculate the ratios between each term and the one that precedes it.

8/4=2 ....16/8=2...32/16= 2...

Upon comparing the ratios we see the ratio between each term and the one that precedes it is 2 for all the terms, the sequence is geometric, and the common ratio is r = 2.

Now, we simply need to find the other unknown values in the equation, a1= the first term of the sequence which is 4, Therefore a1=4

Looking at the options provided we see that no further missing quantity can further be found so we put this in the equation provided for a geometric sequence.

We get 4. 2n-1, which is our answer.

Sandra saves 10% of her salary for retirement. This year her salary was $1,000 more than in the previous
year, and she saved $4,200. What was her salary in the previous year?

Answers

Answer:

$41000

Step-by-step explanation:

If her salary was $1,000 more than the previous year and she save $4,200, $4,200 was 10% of her salary. So we should create an equation. (x being her salary from the previous year)

0.1(x+1000)=4200 (divide 4200 by .01)

x+100=42000

42000-1000= 41000

$41000 sorry if i am wrong :(

Forty percent of the books a company produces are children's books. Fifty percent of the children's books are paperback books. Which equation represents the relationship between the number (n) of paperback children's books and the total number (t) of books produced?

a) n = 0.2t

b) n = 0.4t

c) n = 0.5t

d) n = 0.9t

Answers

because 0.50 times 0.40 equals 0.2
The answer is definitely A

Right answer gets brainlest and you get 20 points just for putting an answer so please answer- :)

Answers

Answer:
190 square inches

Step-by-step explanation:

The Box:
Length that equals 11 in
Width that equals 8 in
Height that equals 5 in

The surface area of 4 faces is given by
A=2H(L+W)

A=2×5(11+8)

A=10(11+8)

A=10×90

A=190





↓Question is listed in the photo↓

Answers

Answer:

13 laps ........................

13 Laps Dylan ran 13 laps because 6 1/2 divided by 1/2 is 13

A rectangular garden has a width of 67 inches and a length of 92 inches. What is the perimeter of the garden in feet? Group of answer choices 31.8 feet 26.5 feet 13.25 feet 42.8 feet

Answers

The answer is 13.25
67+92= 159
159 divided by 12= 13.25

The perimeter of the garden is approximately 26.5 feet according to given question.

To calculate the perimeter of the rectangular garden, we need to add up the lengths of all four sides.

Given:

Width of the garden = 67 inches

Length of the garden = 92 inches

The formula for calculating the perimeter of a rectangle is:

Perimeter = 2 * (Width + Length)

Plugging in the given values, we have:

Perimeter = 2 * (67 inches + 92 inches)

Perimeter = 2 * 159 inches

Perimeter = 318 inches

To convert the perimeter from inches to feet, we divide by 12 since there are 12 inches in a foot:

Perimeter = 318 inches / 12 inches/foot

Perimeter ≈ 26.5 feet

Therefore, the perimeter of the garden is approximately 26.5 feet.

To know more about perimeter here

https://brainly.com/question/397857

#SPJ2

.....................................................

Answers

D’ -1,3 E’ -3,2 F’ -2,-1

If the perimeter is 20 what must be the length of the missing side length? (Answer with Number Only) *

Answers

Answer:

8

Step-by-step explanation:

Perimeter = Sum of all side lengths

If perimeter = 20, then 5 + 3 + 4 + x = 20

( where x = missing side length )

5 + 3 + 4  = 12

12 + x = 20

20 - 12 = 8

Hence, x = 8

The answer would be 8
Step by step
5+3= 8
8+4=12
20-12=8

please help it's due today

Answers

Answer:

x = 15 in

you can use the Pythagorean Theorem because you know the legs of the triangle and need to find the hypotenuse

the left leg of the triangle is 9 because 9² = 81

the bottom leg of the triangle is 12 because 48/4 = 12

9² + 12² = x²

81 + 144 = x²

225 = x²

√225 = x

Step-by-step explanation:

x=15....................

a/5 divided by 3a/10
if a doesnt equal to 0

Answers

Answer = 2/3

Explanation
1. Keep a/5, change the division sign to a multiplication sign, flip 3a/10 to 10/3a

2. Cross simplify a/5 x 10/3a by crossing out the x’s as they cancel out. 10 and 5 cancel out by 5 leaving 2/3 as the answer.

Answer:

Step-by-step explanation:

format is if let variables a,b,c,d then, a/b is divided by c/d can be represented as (a*d)/(b*c) so, by this we have according to the question:

(a*10)/(5*3a) = 2/3

Your bedroom wall is 171 inches wide. You want to hang two posters, each 42 inches across, with an equal space between each poster and the wall edges.

How many inches of space should you leave between the wall edge and each poster?

Answers

Your answer should be 29

I NEED HELP ASAP!! PLEASE!!!

Answers

Answer:

the second answer is correct

Step-by-step explanation:

2 im not gonna make it long cuz u said asap but its 2!

555555555555555555555555555555555555555555555555555555555555555555555

Answers

Answer:

32 degrees. your welcome

32 degrees i’m pretty sure

Help me out please I would really appreciate it

Answers

Answer:

6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}

Step-by-step explanation:

Here, we are looking for the possible combinations of books since the order doesn't matter:

Method 1: You can take the factorial of 3 since order doesn't matter, which will mean 3!=3*2*1=6 combinations

Method 2: List all the possible combinations for your sample space

DMC

DCM

CMD

CDM

MCD

MDC

Either method you choose, you'll end up with the same result of 6 combinations with a sample space of {DMC,DCM,CMD,CDM,MCD,MDC}

dbhejdbrhshdhehajsjrnwkaks

Pls help asap! Yesterday, Lexy trimmed a tree that was 8.7 feet tall in her backyard. Now the tree stands is at the height of 6 feet tall. What is the percent of decrease when Lexy trimmed her tree?

Answers

Answer:

31.03%

Step-by-step explanation:

Very simple

6/8.7 and you get the percentage of tree left. Which is 68.97% (rounded

You subtract that from 100 to get how much was removed.

100-68.97=31.03%

Answer is 31.03% or did u need it in full answer I recommend subtracting and wetting it out

Enter the opposite of 4/5 and − 7/15.

Answers

The answers are: 5/4 and -15/7

To find the opposite just switch the numerator with the denominator!

hello everyone (this is 6th grade math)​

Answers

Answer:

7 batches

Step-by-step explanation:

The area of the base of a rectangular prism is 30 square centimeters. The height of the prism is 6 centimeters.

What is the volume of the rectangular prism in cubic centimeters?

Answers

Answer:

180

Step-by-step explanation:

30 = base

6 = hight

30 x 6 = 180

anaswee: 180

if the base is already 30 then you just have to times the 6

the formula for volume for a rectangular prism is base times height or length times width times height

HELP HELP The gasoline tank in the walkers van holds 21.2 if the van averages 12 miles per gallon how far can they expect to travel on one tank. lols

Answers

Answer:

254.4 miles

Step-by-step explanation:

Multiply the gasolone the van can hold (21.2), by the miles the van can travel per hour (12).

Answer: 254.4

Step-by-step explanation:

Please try to do this fast, thank you to whoever does it!!!!!!!!
Which of the following tables represents a linear relationship that is not proportional?

Answers

Answer= A, you just need to divide y/x and get the cop

The sum of two numbers is -9. Which expressions could represent the addition problem?

PLEASE HELP

Answers

The answer is B all the others basically go into positive

The correct answer is B:

A cannot be right because -10 -1 is -11

B has to be right because -10 + 1 is -9

C cannot be right because 10 - 1 is 9, but it’s positive

D cannot be right because 10 + 1 is 11

Remember if you have 2 negatives it’s positive, and if you have 1 negative and 1 positive it’s negative

Solve 1/2 + 1/3w = 1/6. Show your work.

pls help! i will give brainly

Answers

Answer:

w = -1

Step-by-step explanation:

1/2+1/3+1/6

Multiply both sides by 6

6(1/2)+6(1/3w)=1

3+2w=1

Subtract 3

2w=-2

Divide by 2

w=-1

Hope his helps :)

Answer:

solution in attachment

hope it helps

k/2+9=30 help pleasee

Answers

Answer:

k=42

Step-by-step explanation:

K = 42

Heres how I do it. 30-9= 21
21 x 2 = 42 there!
K= 42

Sara has a spinner with 12 equal sections of blue, green, red and yellow. What is the probability she will spin yellow or green?

Answers

Answer:

4/12 or 1/3

Step-by-step explanation:

12 sections

Yellow: 1

Green: 3

4/12 or 1/3

I really hope I helped :D

Answer: 4/12

Step-by-step explanation:

can u pwsss helppppp
:)

Answers

Answer:

[tex]F) ~200.96 ft[/tex]

Step-by-step explanation:

[tex]c=\pi d=[/tex][tex]\pi (64ft)=[/tex][tex]201ft[/tex]≈[tex]200.96ft[/tex]

[tex]---------[/tex]

[tex]hope ~it ~helps[/tex]

Answer: i think its uh F

Step-by-step explanation:

i dont get this i got 68??​

Answers

Answer:

Hello answer: 53

Step-by-step explanation:

I believe this is correct Hope that helps ya.

Other Questions
Can someone please help 1. Convert 9% into a decimal. Is her hair really that long... Possibly a brainly help me understand scientific notation better . A researcher plans to ask employees whether they favor, oppose, or are indifferent about a change in the company retirement program. Formulate a hypothesis for a chi-square test and the way the variable would be created. which animal foods are high in carbonhydrate? What is significant about the internment of Japanese Americans by the United States government in 1942? Provide examples of any societal dangers that might occur when the results of poor media reporting are publicized. Discuss a recent instances of this phenomena. Forensic linguistics needsin order to validate the evidence presented to the courts.more researchO more forensic linguistsO judges to be more aware of the value of the evidenceO lawyers to learn more about this field Find the inverse of the function.y = x + 8Write your answer in the form ax + b. Simplify any fractions.y = managerial accounting information for a company is primarily used by ________. What is the car doing A nurse is preparing to perform a GA assessment on a newborn. The nurse knows that the results of the assessment should be considered only an estimate. Which factors can influence the examination results Two different random samples were used to determine students favorite park in town. The results are below. Make at least two inferences.PLZ CHECK YOUR WORK... thanks! a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the park as shown in the image below. How much of the park will still be grass? MARKING BRAINLIEST IF RIGHT, NO ABSURD ANSWERS! 1.) The main difference between tax credits and tax deductions is that:A.) credits reduce a person's taxable income while deductions reduce an individual's tax bill.B.) credits always result in tax refunds.C.) deductions always result in tax refunds.D.) deductions reduce a person's taxable income while credits reduce an individual's tax bill. HOW TO DO THIS QUESTION PLEASE Germany 3. Guam 24 Greenland -10 Which location is the warmest? 9.-Which of the following changes over time between 8,000 BCE and 600 CE is best supported by BOTH excerpts?a. Imperial societies shifted towards matriarchy as they expanded.b. Inter-class marriage was promoted in several societies.c. Patriarchy was the most important factor that shaped imperial societies.d. Social stratification shaped gender relations in imperial societies. How is scale type related to diversity Why is the ability to hover useful to a hummingbird? Refer to the text to support your answer. Please help I have no idea how to figure this out