A cylindrical container of six rubber balls has a height of 18 centimeters and a diameter of 3 centimeters. Each ball in the container has a radius of 1.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number. - Could you help me with this?

Answers

Answer 1

Answer:

170 cm²

Step-by-step explanation:

Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.

Hence, radius of cylindrical container = 6/2 = 3 cm

Rubber balls = 3 each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3 π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

Volume of 3 rubber balls = 3 * 113.04 = 339.12³

Take the difference to obtain answer :

Volume of cylinder - Volume of rubber ball

508.68 cm³ - 339.12³

= 169.56 cm²

170 cm² (nearest whole number


Related Questions

Can someone help me please ?

Answers

You rotate then dilate the smaller one

Find the perimeter of the
polygon if ZB = ZD.
11.5 cm
B
D
12.5 cm
13.5 cm

Answers

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

Perimeter of the polygon = 24 + 26 + 26 + 24

Perimeter of the polygon = 50 + 50

Perimeter of the polygon = 100cm

Hence the Perimeter of the polygon is 100cm

Answer:

100 cm

Step-by-step explanation:

scrieți divizorii întregi ai numerelor 6,9,15

Answers

Answer:

`15

Step-by-step explanation: i think

1. The graph of y = x2 is translated 4 units down and 3 units to the left. It is also stretched by a factor
of 4, then reflected in the x-axis.

Answers

Answer:

ok so first ur gonna do 4x3=12 then

Step-by-step explanation:

tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​

Answers

Answer:

rhymy

Step-by-step explanation:

Find the sum of 318 nanoseconds and 96 microseconds

Answers

Step-by-step explanation:

1 microsecond is equal to 1000 nanoseconds.

Knowing this, we can multiply 96*1000 to get 96,000.

Then just add the additional 318 nanoseconds.

96,000+318=96,318 nanoseconds.

If a car is traveling at 80 feet/second with 22 inch tires, how fast are the tires spinning in revolutions per second?

Answers

Answer:

43.6

Step-by-step explanation:

67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways

Answers

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

To learn more about permutations visit:

https://brainly.com/question/14368656

#SPJ2

PLEASE HELP ME ANSWER THESE QUESTIONS. NO LINKS OR U WILL B REPORTED. ILL GIVE U THE BRAINLIEST TY!

A. Is there a more appropriate SI unit of measure to use to determine the surface area of the
playground equipment? Explain.

B. What would be a more appropriate imperial unit of measure for the surface area of this
playground equipment?

Answers

Answer:

A: Explanation: The surface area of a 3-D object is the sum of all the areas of all the 2-D surfaces of the object; so, its unit is the same as that of area. The SI unit of area is square metre (m2)

Please mark my answer as brainliest for further answers :)

What is 3/4 divided by 2 equal

Answers

Answer:

0.375

Step-by-step explanation:

..

Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10

Answers

Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song

HELP!!! answer quickly pls

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

You went shopping at a mall and bought a t shirt for $8.99 and a baseball hat for $12.99. What is the total cost of the items with 7.5% tax?


A. $21.98


B. $1.65


C. $38.46


D. $23.63

Answers

D is the correct answer, $8.99+$12.99+7.5% = 23.6285. , rounded , 23.63.

For the people that are trying to help me, is this good?

Answers

Answer:

369.03

Step-by-step explanation:

The figure is a pyramid with a rectangular base

The formula is A+1/2ps

A=130 (Area of the base)

p=46 (perimeter of the base)

s=15 (slant height)

What are the solution to the equation (x+3)^2=7

Answers

Step-by-step explanation:

see attached. hope it's helps

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

I need help with these question! Please do step by step-

Answers

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Can someone help me with this. Will mark brainliest.

Answers

The answer to this question is false

Can you guys help me with this problem

It’s in the picture

Answers

Answer:

74

Step-by-step explanation:

Answer:

do length x with for both shapes then add together

Step-by-step explanation:

hope this helps

HELP HELP HELP ILL MARK YOU BRAINLIEST

Answers

The answer would be 128z^9.

This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.

I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.

Answers

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

A = (3x⁵)(7x²) = 21x⁷ square feet

To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:

Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet

Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet

Therefore, the square plot of land has a larger area when x is 3.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Can someone help me please

Answers

I think it might be D

help pleaaaaaaaaaaaaaaaaaaaaaase

Answers

Answer:

26.85 in

Step-by-step explanation:

5+7+7 = 19

C 2πr/2 = 7.85

19+7.85 = 26.85

Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.

Answers

Answer:

10 is the number

Step-by-step explanation:

HELP PLZ ASAP HELP

I WILL GIVE BRAINLIEST TO WHOEVER SHOWS HOW TO GET THEIR ANSWER

PLZ DONT SPAM BOTS

Answers

Answer:

4.5 cubic feet

Step-by-step explanation:

Volume is calculated by length ⋅ width ⋅ height.

In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.

2 1/2 ⋅ 2 ⋅ 1 1/2 = 7 1/2 cubic feet

Now that we have the volume of the box, we can subtract the volume of the present from it.

7 1/2-3 = 4.5 cubic feet  

How many solutions does the equation 4x-7(x-2)=3x+2 have?

Answers

Answer:

one solution, x=2

Step-by-step explanation:

brainliest?

what is the x-intercept of the graph 4x-6y=12

Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

simplify (2x^2+3)(x+4

Answers

Answer:

23+32−5+12 is the equaequation simplified

Step-by-step explanation:

Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2

Answers

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

x=-2 hope this helps you

Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...

b(1)= "answer"
b(n)=b(n-1)+ "answer"

Answers

Given:

The given arithmetic sequence is:

[tex]-3,-1,1,3,...[/tex]

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

[tex]-3,-1,1,3,...[/tex]

Here, the first term is -3. So, [tex]b(1)=-3[/tex].

The common difference is:

[tex]d=-1-(-3)[/tex]

[tex]d=-1+3[/tex]

[tex]d=2[/tex]

The recursive formula of an arithmetic sequence is:

[tex]b(n)=b(n-1)+d[/tex]

Where, d is the common difference.

Putting [tex]d=2[/tex], we get

[tex]b(n)=b(n-1)+2[/tex]

Therefore, the recursive formula of the given arithmetic sequence is [tex]b(n)=b(n-1)+2[/tex], where [tex]b(1)=-3[/tex].

Other Questions
1: A verb's shows the time when the action is completed. Which of the following events below will have an equally likely chance of happening?A. If an event has a 5% chance of happeningB. If an event has a 50% chance of happeningC. If an event has a 100% chance of happeningD. If an event has a 0% chance of happening Please Help!1. The A___ E___ are the building blocks of a work of art, they are sometimes called the elements of design.2. The principles of design are sometimes called the A___ P___.Please help. Only real/correct answers please! PT=y,TR=x+3,QT=2y,TS=3x-1 I'm confused and u really need help. My teacher isn't the greatest and wasn't much help. The measure of central angle LOP is . The length of LP is units. The length of MP is units. Answer each of the questions.16. What name did the people give to the ship Constitution?17. Andrew Jackson is often spoken of by what nickname?18. England's practice of forcing our sailors to serve in her navy was called what?19. The British attempted two invasions of America from the sea. The first one was at _________, and the second attempt was at ___________________________________.20. Who was the American General who followed the British into Canada and defeated them in The Battle of the Thames?21. What Indian chieftain was killed in The Battle of the Thames?22. What important building did the British burn when they captured Washington?23. After capturing Washington, the British attacked what city, which they failed to capture?24. What land did The United States gain from The War of 1812?25. The famous Battle of New Orleans was unnecessary. Why?26. On November 7, 1811, a great battle between the Indians and American soldiers took place at __________________, Indiana. The Indians, who were united by the great Indian leader, ______________________, were defeated by General ______________________________.27. Write an account of the creation of The Star Spangled Banner. Private property is anything not owned by? me prions for apples per pound are listedin the table.$2.99$1.29$1.89$1.59$0.99What is the mean price of applesper pound?F $1.75G $1.59H $1.14$2.00 Question 6 of 10If this vector were twice as long, what would be the coordinates of the tip?O A. (1,-2)O B. (-2, 1)O C. (-4,2)D. (2,-4)PREVIOUS Roxanne set a goal o drinking 2.5 liters of water each day.By 10:00 a.M., she drank 3/4 liter, and at lunch she had another 600 ml. In the afternoon. She purchased a ottle of water of water that contained 1.1 liters Describe how Jefferson Davis became President ofthe Confederacy. Please help will mark brainliest 9 and 10 pls help :) I got half-credit for this question on a test. Please explain to me what I did wrong. (Error analysis problem) And to the people who might report this because it was a question on a test, I got the answer partly correct, the test passed so I just want to know what I did wrong on it. My answer to this math equation is in the image. What is the answer? Answer with correct answer and no wrong ones helppp pls i dont get it PLEASE ANSWER THIS QUESTION ASAP NO GUESSING!!!!!!!!!!! The County Commission of Benton County adopted its General Fund budget for the year ending June 30,comprising estimated revenues of $3,200,000 and appropriations of $2,900,000.Benton County utilizes the budgetary accounts required by GASB standards.The journal entry to record budgeted appropriations will includeA) A credit to Appropriations,$2,900,000.B) A credit to Encumbrances,$2,900,000.C) A debit to Estimated Expenditures,$2,900,000.D) A credit to Budgetary Fund Balance,$2,900,000. Identify the term character development Which inequality represents the solution to the inequality below? 2/3m + 3 < m - 4 A. m < 21. B. m < 18. C. m > 21. D. m > 18.