A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?

A Table Tennis Ball Has A Radius Of 2 Cm. There Are 3 Table Tennis Balls Stacked On Top Of One Another

Answers

Answer 1

Answer:

Volume left = 16π cm³ or 50.265 cm³

Step-by-step explanation:

Let's first find the surface area of the tennis ball.

S.A = (4/3)πr³

Radius of a ball = 2 cm

Thus;

S.A = (4/3)π(2)³

S.A = 32π/3

Since there are 3 radius balls that will make the cylinder full, then;

Surface area of 3 balls = 3 × 32π/3 = 32π

Now, formula for volume of cylinder is;

V = πr²h

r = 2 cm

h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)

Thus;

V = π × 2² × 12

V = 48π

Thus;

Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³


Related Questions

A scale drawing of Elizabeth's rectangular room is 4 inches by 7 inches. The scale is 1 inch = 3 feet. What is the area, in square feet, of Elizabeth's room?

Answers

Answer:

84 feet

Step-by-step explanation:

4 inches× 7 inches=28inches

28 inches×3feet=84feet

Math question......please get the correct answer

Answers

Answer:

7 pies

Step-by-step explanation:

The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.

Answer:

7 pies

Step-by-step explanation:

The value of log₃⁵ x log₂₅⁹ is...

Answers

Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

what is 0.06 divided by 8 working out

Answers

It’s an answer for your question

Answer:

0.0075

Step-by-step explanation:

 0. 0 0 7 5

_______________________

8  ÷ 0. 0 6 0 0

− 0        

_______________________

 0 0      

−   0      

_______________________

   0 6    

 −   0    

_______________________

    6 0  

   − 5 6  

_______________________

      4 0

     − 4 0

_______________________

         0

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.

Answers

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

Firstly, 27 x 4.54
= $122.58

$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.

What is PEDMAS rule?

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

According to the question

Monique goes out for coffee once per week.

She has already spent $40.86 this year on her coffees and each one is $4.54.

There are 27 weeks left in this school year for Monique.

If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:

Based on the given conditions

[tex]40.86 + 27 \times 4.54[/tex]

By using PEDMAS rule, first we have to multiply 27 and 4.54

= [tex]40.86 + 122.58[/tex]

By using PEDMAS rule, first we have to add 40.86 and 122.58

= [tex]163.44[/tex]

Thus, $163.44 money will she have spent on coffee by the end of the year.

Find out more information about PEDMAS rule here

https://brainly.com/question/24086845

#SPJ3

Expand and simplify (3x+4)(2x+3)

Answers

Answer:

72 you just need to keep multiplying

Step-by-step explanation:

3x4. 2x3

12 x 6

72

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8

Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.

Answers

Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.

Step-by-step explanation:

Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.

Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.

Answer: A

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer: $108199

Step-by-step explanation:

Step 1) Find the deposit cost

35/100 × 89540 = 31339

Step 2) Find the total cost of the monthly payments

2135 × 36 = 76860

Step 3) Find the final cost

31339 + 76860 = $108199

What is the solution to the system of equations ?
Y=2/3 x + 3
X= -2

Answers

Answer:

5/3

Step-by-step explanation:

Answer:

x = -2, y = 5/3

Step-by-step explanation:

y = [tex]\frac{2}{3} x+3[/tex]            x = -2

[tex]y=\frac{2}{3} (-2)+3[/tex]

[tex]-\frac{4}{3}[/tex] + 3 =

[tex]-1\frac{1}{3}[/tex] + 3 = [tex]\frac{5}{3}[/tex]

A computer store bought a program at a cost of ​$10 and sold it at a selling price of ​$13. Find the percent markup.

Answers

Answer: 30 %

Step-by-step explanation:
Cost = $10
Selling price = $13
Markup = selling price - cost price
= $13 - $10
= $3
percent markup = markup/cost
= $3/$10
= 0.3 = 30%
Percentage markup is 30

There are 271 songs on Amy's computer. She
wants to make playlists that have 9 songs
each. How many full playlists can she make?

Answers

Answer:

30

Step-by-step explanation:

You do 271 ÷9

= 30.11111111

The answer is your whole number (30)

Evaluate the piece-defined function for the given of x by matching the domain values with the range values

Answers

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

[tex]f(x)=(-2)^3-5[/tex]

       [tex]=-8-5[/tex]

       [tex]=-13[/tex]

(2)

By putting x = 0, we get

[tex]f(x)=(0)^3-5[/tex]

       [tex]=0-5[/tex]

       [tex]=-5[/tex]

(3)

By putting x = 3, we get

[tex]f(x)=8[/tex]

(4)

By putting x = 9, we get

[tex]f(x)=(2)^{9-7}[/tex]

       [tex]=(2)^2[/tex]

       [tex]=4[/tex]

(5)

By putting x = 11, we get

[tex]f(x)=(2)^{11-7}[/tex]

       [tex]=(2)^4[/tex]

       [tex]=16[/tex]

I will give u brainliest and 5 star and thanks if its correct

Answers

Answer:

A

Step-by-step explanation:

bcz 7 times 7 times 7  3 times

Answer:

A)

Step-by-step explanation:

The expression would be 7x7x7 because exponents work that way in steps of using multiplication. It an expression used to say "3 times more" that the real amount. 7³ = to the the expression of 7x 7 x 7.

Note:

Hope this helps!

-kiniwih426

There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)

Answers

price of 3Step-by-step explanation:

Can someone help and explain how to do these problems please

Answers

Step-by-step explanation:

1st one right angle

Right angle is of 90°

and 70° is given so subtract them

90-70=30 so y is 30°

2nd one

35° given and

[tex] \frac{35}{7} = 5[/tex]

so 7x5=35

t=5

Find the measure of the arc or angle indicated.
5)
R
1290
?
S
450
A) 93°
D) 48°
C) 96°
B) 1320
E) 1140

Answers

The answer is D 48 degrees

PLEASE HELP ME I AM SUFFERING GREATLY

Answers

Answer:

6 hours ( i think)

Step-by-step explanation:

new crew = 12 hours, experienced crew = 6 hours

new crew + experienced crew = 12 hours and 6 hours

the help that they get together ; 12-6

1. Maggie currently has a balance of $-15 in her bank account, she deposits $11
into her account. How much money does Maggie have in her account? *

Answers

-15+11=-4 so Maggie has -4 in her account

Answer: Maggie now has $-4 in her bank account.


Explanation: The word “deposits” usually means “add”, so all you need to do is:

-15+11
=-4

Therefore, Maggie now has a balance of $-4 in her bank account.


Hope this helps シ

evaluate 999^3 by using suitable identity​

Answers

The answer is:

999^3 = 997002999

What is the equation of the line

Answers

The answer is
(0,0)
Goodluck

What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs

Answers

Answer:

The answer should be t > s. (B) is the answer.

Q5. A surprise Mathematics test was conducted in a class of 12 students. The
results are shown below.
45
22 12
9 6 63
63 78
12
69 81 3 19
4 points
Calculate the mean score
O 34.92
O 457
O 20.5
O 22​

Answers

Answer:

Mean value of score = 40.167 (Approx.)

Step-by-step explanation:

Given:

Number of students in class = 12

Numbers;

45 , 22, 12,  96, 63,  63, 78 , 12 , 69, 81, 3, 19

Find:

Mean value of score

Computation:

Mean = Sum of all observation / Number of students

Mean value of score = [45 + 22 + 12 +  96 + 63 +  63 + 78  + 12 + 69 + 81 + 3 + 19] / 12

Mean value of score = [482] / 12

Mean value of score = 40.167 (Approx.)

5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answers

Answer: 8

Step-by-step explanation: 4x4=0

What is the inverse of the function f(x) = 169x2 when x > 0?

Answers

Answer:

y = (√x)/13 for x > 0

Step-by-step explanation:

Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation.  The graph consists of the right-hand half of the parabola 169x^2.  Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test.  If x is restricted to (0, infinity), a horizontal line intersects this graph only once.  Therefore, this function has an inverse.

1.  Replace 'f(x)' with 'y:'  y = 169x^2

2.  Interchange x and y:  x = 169y^2

3.  Solve for y:  y^2 = x/169, or y = (√x)/13 for x > 0

Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
If Emma’s model has a wingspan of 30 centimeters (cm), what is the length of the model?

Answers

Answer:

it should be either a or b

If we have a ratio of 5:1 boys to girls in the class and there are only 5 girls in the class, How many boys are there in the class?

Answers

Answer:

25

Step-by-step explanation:

5x5=25

Hope this helps! :)

Answer:

25 boys

Explanation:

Because if there are 5 girls in the class then that means that you have to multiply the ratio of 5:1 by 5, which equals 25:5, meaning there’s 25 boys in the class.

Which of the following sets of numbers could not represent the three sides of a right triangle?

A) {15,20,25}
B) {30,40,50}
C) {33,44,55}
D) {5,12,14}

Answers

Answer:

D

Step-by-step explanation:

A^2+B^2=C^2

For A, 15^2(225)+20^2(200)=625, and 25^2=625

For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500

For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025

But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.

Find the area of the figure below

Answers

Answer:

521

Step-by-step explanation:

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