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 with this. Will mark brainliest.

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The answer to this question is false

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

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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:

Can someone help me please ?

Answers

You rotate then dilate the smaller one

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

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

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

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

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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:

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scrieți divizorii întregi ai numerelor 6,9,15

Answers

Answer:

`15

Step-by-step explanation: i think

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

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)

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

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Answer:

10 is the number

Step-by-step explanation:

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

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.

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].

Can someone help me please

Answers

I think it might be D

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:

What is 3/4 divided by 2 equal

Answers

Answer:

0.375

Step-by-step explanation:

..

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 :)

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.

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:

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  

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:

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

Answers

Step-by-step explanation:

see attached. hope it's helps

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:

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

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.

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.
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