soccer ball inflation:
How many pumps will it take to fill the large soccer ball with a circumference of 71 inches? Recall that the amount of air in one pump was about 11 cubic inches.

must show all work and justify work

Soccer Ball Inflation: How Many Pumps Will It Take To Fill The Large Soccer Ball With A Circumference

Answers

Answer 1

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.


Related Questions

the area of a square is 225cm². On the map drawn to scale 1 : 3 find the area of the square​

Answers

Answer:

25 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Area if a square = length²

225 =  length²

length = √225

length = 15

if the map is drawn to scale of 1 : 3

the length on the map = 15/3 = 5

area of the square 5 x 5 = 25

matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?

Answers

Answer:

32 ft

Step-by-step explanation:

Given data

Length= 8ft

Area= 64 f^2

Let us find the width

Area= Length*Width

64= 8* Width

Width= 64/8

Width= 8ft

Hence the perimeter= 2L+2W

P= 2*8+2*8

P= 16+16

P= 32 ft

Nina purchased 4 pounds of strawberries for a total of $6.40.How much did she pay for one pound of strawberries?

Answers

Answer:

1.6$

Step-by-step explanation:

6.4/4=1.6

Please help!!!!!!!!!!ASAP!!!

In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC

Answers

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

hii i’ll give brainliest please help thanks :)

Answers

Answer:

a

Step-by-step explanation:

Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha superficie es de 0.6 . Determine la aceleración resultante en m/s2 que lleva el bloque aproximando el resultado a las décimas.

Answers

Answer:

[tex]10.9\ \text{m/s}^2[/tex]

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

[tex]\mu[/tex] = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

[tex]F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2[/tex]

La aceleración del bloque es [tex]10.9\ \text{m/s}^2[/tex].

The fish population is decreasing at a rate of 3% per year. In 2002 there were about 2100 fish. Find the fish population in 2010. Round to the nearest whole number

Answers

Answer:

Population of fish in 2010 = 1,646 fish (Approx.)

Step-by-step explanation:

Given:

Population of fish in 2002 = 2100 fish

Decrease rate = 3% per year

Find:

Population of fish in 2010

Computation:

Number of year = 2010 - 2002

Number of year = 8 year

A = P[1+r]ⁿ

Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ

Population of fish in 2010 = 2100[1-0.03]⁸

Population of fish in 2010 = 2100[0.97]⁸

Population of fish in 2010 = 2100[0.7837]

Population of fish in 2010 = 1645.77

Population of fish in 2010 = 1,646 fish (Approx.)

What is the total surface area of the pyramid?

Answers

Answer:

16.64911

Step-by-step explanation:

Answer:

area of the regular pyramid is =T.S.A=12pl+B is the formula for this question

What is the quotient of 1.44 x 10°8and 6.0 x 105 expressed in scientific notation?

Delta math​

Answers

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

find the simple interest on Birr 700 at 12% rate for 3 months​

Answers

Answer:

252

Step-by-step explanation:

700 mutliply by 12 divided by 100 is equall to 8484multiply by 3 is equall to 252

Lillian has b buttons. She gives away 72 buttons. Write an expression that shows the number of buttons Lillian has left.

Answers

Answer:

b-72

Step-by-step explanation:

an expression does not have an answer. she has b amount of buttons and gives away 72.

The diameter of a circle is 8 feet. What is the length of a 45° arc?

Answers

Answer:

3.14 ft

Step-by-step explanation:

45/360 × 3.14 × 8

= 1/8 × 3.14 × 8 = 3.14 ft

HELP ASAP! THANKS!

Kade is gathering box tops for his school. Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired. He collected 441 box tops this year. How many boxtops will be expired this year if Kade can estimate the number of box tops that will expire this year using the ratio from last year? Round to the nearest whole number.

Answers

What do you mean by asap

The number of box tops expired this year is 34.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.

So, the ratio is 312:24

39:3

13:1

He collected 441 box tops this year.

Here, the ratio is 441/13 =34

Therefore, the number of box tops expired this year is 34.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ6

The mean age of 6 women in an office is 24 years old.
The mean age of 9 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

The mean age of everyone in the office rounded to the nearest year is 26.

Answer:

26

Step-by-step explanation:

A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage

Answers

Answer:

252 cm^3

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula:

V = lwh

We can substitute in the values to get:

V = 7 x 12 x 3

V = 252 cm^3

please answer to the best of your ability

Answers

Answer:

C:reflection accross the x axis

Step-by-step explanation:

Seventh grade
>
DD.1 Probability of simple events ZZB
Learn with an example
6
A bag contains 6 marbles, of which 3 are white.
What is the probability that a randomly selected marble will be white?
Write your answer as a fraction or whole number.
P(white)
-
Submit

Answers

Answer:

1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/ total = 3/6

simply 1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/total =3/6

simply 1/2

What is the solution to 2 x minus 8 less-than 12?

Answers

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

please help! picture attached

Answers

Answer:

you on iready?

Step-by-step explanation:

Answer:

Can you reattac the picture because I can’t see it then I will be able to help u

Step-by-step explanation:

I will mark you brainlist!

Answers

We know that we have 3 even numbers out of 8 numbers, and we know that we spin it 48 times. So a reasonable prediction of getting a even number is 3/8 x 48= 18 times.

It will land on an even number 18 times.

Rick has a printer that can print a job in 8 minutes. When he uses his son's smaller printer at the same time, he can complete the same job in 6 minutes. How long does it take his son's printer to complete the job by itself? (In minutes.)

Answers

Answer:

maybe 2 minutes?

Step-by-step explanation:

not sure im so sorry!

Somebody please help.

Answers

the answer to the question is c

Quadrilateral WXYZ has vertices at the points W(-3,2), X(-1,3), Y(0,1), and Z(1,0). Find the slope of side xy.

Answers

Answer:

The slope of the side xy is -2

Step-by-step explanation:

To find the slope of the side xy, we use the slope formula

we have the formula as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-1,3)

(x2,y2) = (0,1)

m = (1-3)/(0 + 1) = -2/1 = -2

The table shows the heights of students in a group.


Student Height (in inches)
A 45
B 48
C 49
D 40
E 53


What is the mean height of the students in the group?
A 47 inches
B 49 inches
C 51 inches
D 53 inches
plzzz help

Answers

Answer:

A 47 inches

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

pls help!!! and no links :)

Answers

Answer:

The surface area of the parallelogram is;

2x^3 -6x^2 - 14x +24 squared centimeters

Step-by-step explanation:

To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram

We have this as follows;

(x-4)(2x^2+2x-6)

= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)

= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24

= 2x^3 +2x^2 -8x^2 -6x-8x+24

= 2x^3 -6x^2 - 14x +24

On Saturday, a gymnast walked a distance of x miles. On Sunday, the gymnast walked half the distance that he walked on Saturday. ​Which expression represents the total number of miles the gymnast walked on Saturday and Sunday?

Answers

Answer: See explanation

Step-by-step explanation:

From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday. ​

Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:

= x + (½ × x)

= x + ½x

= 1½x or 1.5x

Describe how the graphs of y = |x| and y = |x+2| are related.


A. The two graphs have the same shape but the second graph is shifted 2 units right.


B. The two graphs have the same shape but the second graph is shifted 2 units up.


C. The two graphs have the same shape but the second graph is shifted 2 units left.


D. The two graphs have the same shape but the second graph is shifted 2 units down.

Answers

Answer: C

Step-by-step explanation:

Pls I’m begging my soul

Answers

Answer:

2.

3p+15−8+11p

=3p+15+−8+11p

Combine Like Terms:

=3p+15+−8+11p

=(3p+11p)+(15+−8)

=14p+7

Answer:

=14p+7

3.

Let's simplify step-by-step.

14p+15−8

=14p+15+−8

Combine Like Terms:

=14p+15+−8

=(14p)+(15+−8)

=14p+7

Answer:

=14p+7

4. Factor 14p+7

14p+7

=7(2p+1)

Answer:

7(2p+1)

(50 points) Write an equation for the sine waves.

Answers

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Explain how changes in the dimensions of a cube dimensions affect the volume of a cube. Be specific, explaining how much the volume will change with each increase of 1 unit on the side lengths. Please give a clear explanation!

Answers

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

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