18. The Tennis for Champs company is looking into new ways to package tennis balls. The packaging engineer at the company is exploring options for vacuum packing the balls (removing the air from the containers in which they are packaged) so they will retain good bounce. He wonders how much air there is in a standard container of tennis balls. Find the amount of empty space in a cylindrical container that is 18 cm tall and contains three tennis balls 6 cm in diameter. Use 3.14 for pi.

Answers

Answer 1

Answer:

Amount of empty space in the cylinder = 395.64 cm³

Step-by-step explanation:

Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;

Formula for volume of a cylinder is;

V = πr²h

We are to use π = 3.14

Thus, V_cylinder = 3.14 × (6/2)² × 18

V_cylinder = 508.68 cm³

Volume of a tennis ball is;

V_tennis ball = (4/3)πr³

V_tennis ball = (4/3) × 3.14 × (6/2)³

V_tennis ball = 37.68 cm³

Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³

Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³


Related Questions

JUST ANSWER RIGHT NOTHING ELSE 25 POINTS!!! plEase thank you

Answers

Answer:The heck i aint on that im close though

Step-by-step explanation:


Given: EFGH is a square
Find the length of FH.

Answers

Answer:

B) 3√2

Step-by-step explanation:

FH = √GH²+FG² = √18 = 3√2

Solve for d.
26 = 100d

d= 26
d= 0.26
d= 2.6
d= 0.026

Answers

D = 0.26


Have a lovely day :)
Answer is d= 0.26 :)

Use the given information to write the equation of a line.
slope = -2 and passes through through (1,1)

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.

y = mx + b

y = -2x + b

1 = -2(1) + b

1 = -2 + b

-1 = b

A recent increase in sales of microchips has forced a computer company to buy a new processing machine to help keep up with demand. The builders of the new machine claim that it produces fewer defective microchips than the older machine. From a random sample of 90 microchips produced on the old machine, 5 were found to be defective. From a random sample of 83 microchips produced on the new machine, 3 were found to be defective. The quality control manager wants to construct a confidence interval to estimate the difference between the proportion of defective microchips from the older machine and the proportion of defective microchips from the new machine.

Answers

The final question is;

Why is it not appropriate to calculate a two-sample z-interval for a difference in proportions?

Answer:

The normality of the sampling distribution of the difference in sample proportions cannot be established.

Step-by-step explanation:

To use the two-sample z-interval for a difference in proportions, some conditions must be met which help us to know the normality of the distribution.

The conditions are;

- The method of sampling for each population must be simple random sampling.

- The samples must be independent.

- Each sample must include at least 10 successes and 10 failures.

- Each population must be a minimum 20 times its sample.

In this case, we are not given the population size and as such we cannot ascertain the last condition I wrote above since the sample proportion we are given alone isn't sufficient. Also, they both don't include at least 10 failures. Thus the normality of the sample proportions cannot be established.

Answer: the normality of the sampling distribution of the difference in sample proportions cannot be established

Step-by-step explanation:

A triangle has side lengths of (8w-5)(8w−5) centimeters, (9w-6)(9w−6) centimeters, and (3x-7)(3x−7) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

a. 6w-4x
b. −11−4x+17w
c. 3x+17w−18
d. 3w+3−4x​

Answers

Answer:

The answer is 3x + 17w - 18

Help please
Find the value of x. *

Answers

The value of x may be x

need help on geomtry homework

Answers

Answer:

third option

Step-by-step explanation:

It will be the 3rd option

f(x)=-4x+2 what is the answer

Answers

X=1/2 hope it helps

write the equation of the line parallel to the given line p (2,-3) y=-6x+10

Answers

Answer:

Step-by-step explanation:

y+3 = -6(x-2)

Solve p + 15 = 4.

Select the correct answer.


A:
p = 19

B:
p = 11

C:
p = -11

D:
p = -19

Answers

Answer:

C

Step-by-step explanation:

Given

p + 15 = 4 ( isolate p by subtracting 15 from both sides )

p = - 11 → C

Answer:

p -11 + 15 = 4

cause a negative × positive equals to positive

Marcy is baking blueberry pies to sell at her bakery. She starts with 8 3/4 cartons of blueberries, of which she uses 1/2 for the first batch of pies. How many cartons of blueberries does Marcy use for the first batch of pies?

Answers

Answer: Marcy used [tex]\dfrac{35}8[/tex] cartons of blueberries for the first batch of pies.

Step-by-step explanation:

Given: Quantities of blueberries = [tex]8\dfrac34[/tex] cartons

[tex]=\dfrac{8\times4+3}{4}=\dfrac{35}{4}[/tex] cartons

Blueberries used for first batch = [tex]\dfrac12[/tex] of (Total)

[tex]=\dfrac12\times\dfrac{35}{4}\\\\=\dfrac{35}{8}[/tex]cartons

Hence, Marcy used [tex]\dfrac{35}8[/tex] cartons of blueberries for the first batch of pies.

Please help.
Is algebra.

Answers

Answer:

bcd

Step-by-step explanation:

They are two parallel lines, having the same slope, there is no solution since the lines never cross

For number 6 the answer is is b,c,d

52 is 20%
of what
number?

Answers

260 20% of 52 is 260

Find the value of x.
**
Please help!!

Answers

The answer is x= 46 because 180-134=46

Find the equation of the line passing through the given points, (1,5) and (2, 7). Which
formula should you use first?

Answers

slope formula (y2-y1)/(x2-x1)

(7-5)/(2-1) slope is 2

then plug in a coordinate point into the equation

y=2x+b

7=2(2)+b

b=3

therefore the equation is

y=2x+3

Simplify.
7x² - x + 9
+ 6x² + 5x - 10
___________

Will give brainliest

Answers

Answer:

13x^2+4x-1

Step-by-step explanation:

13x^2 +4x-1


Because I used Photomath

Helpp plzzz I will mark brainliestttt

Answers

294cm^2
49 x 6 (sides)

Answer:

294

Step-by-step explanation:

We are given the area of 1 face of a cube. The area is 49. Now if their are 6 faces in a cube, and all faces of a cube are the same, then we multiply 49*6 = 294.

P.S. I don't understand the boxes thing but I have the answer :)

The mean number of people per day visiting an art show in July was 120. If 30 more people each day visited the museum in August, what was the mean number of people per day visiting in August?

A. 620
B. 150
C. 650
D. 120

Answers

I think it’s B I am not sure if it’s wrong sorry :(

Answer:

150

Step-by-step explanation:

PLSSSSSSSSS HELPP ILL MARK BRAINLIEST

Answers

Answer:

47

Step-by-step explanation:

At the zoo, the yellow birds
are fed 1/3 of a bag of seed
each day. The blue birds
get fed 1⁄4 as much as the
yellow birds. How much of
a bag of seed do the blue
birds eat each day?

Answers

Answer:

1/12

Step-by-step explanation:

Hope this helps!

try box be
1) Solve for m: 2m + 21 = 3
Help please…

Answers

first step is to subtract 21 from both sides

2m+21-21=3-21

2m=-18

2m/2 and -18/2

m=-9

So the final answer is m=-9 (negative nine equals m)

??????????????????????????????????????????????????????????/

Answers

Answer:

yasghfeiruhiurgwhruihrgrgrgh

Step-by-step explanation:

rhewrgbwjyefjyewhuyfgeurghguhgggggg

Answer:

Let the price of the garden table be x.

The bench would cost x-77 dollars.

x+x-77=777

2x-77=777

2x=854

x=427

The bench costs 350 dollars.

Let me know if this helps!

What is an equation for the line that passes through points (2.-3) and (1, 2)? (+ 3) = -5(x - 2) b. (y - 3) = 5(x ! 2) (y - 3) = -5(.x + 2) d. (+3) = S(x - 2)​

Answers

Answer:

A. y + 3 = -5(x - 2)

Step-by-step explanation:

The slope is:

2 - (-3) / 1 - 2 = 5 / -1 = -5.

Then, put it in point slope form (which was [tex](y - y1) = m(x-x1)[/tex] where m is the slope, and (x1, y1) is the coordinate point it gives you. You can use m = -5, x1 = 2 and y1 = -3.)

y + 3 = -5(x - 2)

Gilberto's family traveled 2 7 of the distance to his grandmother's house on Saturday. They traveled 4 5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother's house was traveled on Sunday?

Answers

Answer:

the fraction of the total distance traveled on the sunday is [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

The computation of the fraction of the total distance traveled on the sunday is given below:

[tex]= 1 - \frac{2}{7} \times \frac{4}{5}\\\\= \frac{5}{7} \times \frac{4}{5}\\\\= \frac{4}{7}[/tex]

Hence, the fraction of the total distance traveled on the sunday is [tex]\frac{4}{7}[/tex]

We simply multiplied the two fractions

Find The Missing Sides. Question 1 Is Already Asnwered.

Answers

Answer:

if you see a person that sends you a sketchy link dont click it is an ip grabber.

Step-by-step explanation:

Work out the volume of this cylinder? 28mm height and 30mm base. Who answers this early and first is the brainliest

Answers

Answer:

19,792.0mm³

Step-by-step explanation:

π×radius²×height

π×15²×28=19792.03372 rounded to 1dp would ne

19,792.0mm³

the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.

What value of w that makes the equation true 2/3(w+3) = 7

Answers

The answer is 7.5 or 15/2

Madeline is saving up to buy a new jacket. She already has $40 and can save an
additional $8 per week using money from her after school job. How much total
money would Madeline have after 10 weeks of saving? Also, write an expression that
represents the amount of money Madeline would have saved in w weeks.

Answers

I trust those links^

Valley Mills Sports Center has a total of 318 footballs and basketballs. There are 76 more footballs for sale than basketballs.
How many footballs are for sale?
A. 121
B. 176
C. 197
D. 242

Answers

Let x represent number of basketball
Let x + 76 represent number of footballs.

x + (x + 76) = 318
x + x + 76 = 318
2x + 76 = 318
2x = 242
x = 121

Since we know the number of basketballs we can use the expression above to get the number of footballs

x + 76
= 121 + 76
= 197

Therefore there are 197 footballs.

Hope this helps!! :)

The number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

Total number of basketballs and footballs in the considered sports center = 318 (assuming they're for sales, as rest of the question is talking about footballs and basketballs being for sales)Number of footballs = 76 + Number of basketballs

Assume that:

Number of footballs = xNumber of basketballs  = y

Then we get two equations, as:

[tex]x+y = 318\\x = 76 + y[/tex]

Substituting the variable x in first equation by the expression obtained in second equation for x, we get:

[tex]x + y = 318\\(76 + y) + y = 318\\76 + 2y = 318\\\text{Subtracting 76 from both the sides}\\\\2y = 318 - 76 = 242\\\\\\2y = 242\\\\\text{Dividing both the sides by 2}\\\\y = \dfrac{242}{2} = 121[/tex]

Thus, we got: Number of basketballs  = y = 121

Using this result and the first equation, we get:

[tex]x + 121 = 318\\x = 318 - 121 = 197[/tex] = number of footballs.

Thus, the number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197

Learn more about forming equations here:

https://brainly.com/question/11938672

Learn more about system of linear equations here:

https://brainly.com/question/13722693

#SPJ2

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