A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch

Answers

Answer 1

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch


Related Questions

not sure how to do this. need help

Answers

Answer:

a) 25/2 or 12.5

b) 78,125

c) 625

d) 30,517,578,125

Write the radian measure of each angle with the given degree measure explain your reasoning

Answers

Answer:

90 = π/2

45 = π/4

0 and 360 = 0 and 2π

135 = 3π/4

180 = π

225 = 5π/4

270 = 2π/3

315 = 7π/4

315 =

Step-by-step explanation:

1. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:

Answers

Answer:

P- arenthesis

E- xpontent

M- ultiplication

D- ivision

A- ddition

S- ubtraction

Answer:

Step-by-step explanation:

p=parentheses

e=exponents

m=multiplication

d=division

a=addition

s=subtraction

The box-and-whisker plots below show the test scores for Mr. Scott's three math classes.

Based on this information, with which class or classes does Mr. Scott most need to review the material covered on the test?

A. third period
B. first period
C. third and fourth periods
D. fourth period

Answers

Answer:

A. Third period

Step-by-step explanation:

- hope this helped!

Answer:

3rd

Step-by-step explanation:

Given the definitions of f(x) and g(x) below, find the value of (gof)(1).
f(x) = 2x² – 2x – 4
g(x) = -5x + 14

Answers

Answer:

[tex](g*f)(x) = 34[/tex]

Step-by-step explanation:

For sake of clarity, [tex](g * f)(x) = g(f(x))[/tex]

First, find [tex]f(1)[/tex]

[tex]f(1) = 2(1)^2 - 2(1) - 4\\f(1) = 2-2-4 \\f(1)=-4[/tex]

Then, take what you got for [tex]f(1)[/tex] and plug that into [tex]g(x)[/tex].  In this case, [tex]f(1) = -4[/tex]

[tex]g(-4) = -5(-4) + 14\\g(-4)= 20 + 14\\g(-4) = 34[/tex]

Please make sure to mark brainliest if this satisfies your

In the diagram, AABC ~ ADEF. Find the value of x.
A
12
B
CO
9
C C
D
36
24
E
27
F
The value of x is
what’s the value of x?

Answers

Answer:

B

Step-by-step explanation:

bdeehvdvjwjkwkwwjehheeh

If you dont know the anwser its always B

Sophie has a box filled with trail mix the box has a length

Answers

can u finish the question please

Use the distributive property to rewrite each algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Answers

Answer:

7y+r+8x+94

Explanation

Given the algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Given A, B and C. According to distributive law;

A(B+C) = AB + AC

A is distributed over C. In the same vein

On expanding the expression;

7(y+2) + (8+r) + 8(x + 9)

7y+7(2) + 8 + r + 8(x)+ 8(9)

7y+14+8+r+8x+72

Bringing the variables and constants together

7y+r+8x+14+8+72

7y+r+8x+94

Mario is buying a number of hamburgers from the local store that cost $2.90 each. He is also buying one packet of hamburger rolls at a cost of $4.75. He has $39.55 to spend at the store. Write and solve an inequality that shows how many hamburgers, h, Mario can afford to buy.
Write the inequality.

solve the inequality

Answers

Answer:

I think hamburgers=12

Step-by-step explanation:

The last one the one at the bottom

Answers

Answer:

Step-by-step explanation

Her bank account decreased by 3 times.

Please let me know if this helps you!

Mrs, carp's class has 11 boys and 17 girls. what is the probability that she will randomly chose a girl first and then a boy?

Possible answers ⇒
0.18
0.24
0.33
0.48

WILL GIVE BRAINLIST

Answers

the answer is 0.18, because if you add 11 and 9 you get 20. which means there is 20 total students in the class. the probability of choosing a girl would be 9/20 The probability of choosing the 2nd girl = number of remaining girls / number of all students minus the chosen girl = 8/19
Then , the probability of choosing two girls is :
The probability of choosing 2 girls = 9/20 * 8 /19
= 72/380
= 18/ 95
then the probability of choosing 2 girls is 18/95 so the answer is 0.18

The sum of two numbers is 18 and their difference is 6.
What are the two numbers?
Larger number
Smaller number

Answers

Answer:

Large number=12

Smaller number=6

Step-by-step explanation:

Let the two numbers be x and y

x+y=18

x-y=6

find the missing side z​

Answers

Answer:

Z=[tex]7\sqrt{2}[/tex] m

Step-by-step explanation:

This is a 45º-45º-90º triangle. That means the side lengths are x, x, and [tex]x\sqrt{2}[/tex].

In this case 14 m is equal to [tex]x\sqrt{2}[/tex]. Now solve for X, which is equal to Z.

The rest of the work is written down in the file attached

Don't forget the units though!

hope I could help

Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.


Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.


Part B: What implications does this have for pulling the wagon? Explain.

Answers

Answer:

Part A - i. 0.68 N ii. 1.88 N

Part B - The wagon will move slowly while being raised up off the ground.

Step-by-step explanation:

Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.

Since the force of 2 N is exerted at this new angle of 70°,

i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its

ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N

Part B: What implications does this have for pulling the wagon? Explain.

Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer: $1,800

Step-by-step explanation:

600x3=1,800

Answer:

1800 is the cost.

Step-by-step explanation:

Each hoop costs 600 dollars and their are 3 hoops so multiply 600 times 3 or you can do 6 times 3 and add the zeros at the end which is 1800 dollars and btw you got this!!! don't give up. I believe in you :)

Which is the correct comparison?
4.25 hours = 260 minutes
260 minutes > 4.25 hours
4.25 hours > 260 minutes
260 minutes < 4.25 hours

Answers

Answer:

260 minutes > 4.25 hours

Step-by-step explanation:

1h=60 min.

0.25 h=¼h=¼*60min=15min.

4.25h=4h+0.25h=60*4+15min=240+15=255min

260>255

Answer:

60+60+60+60=240

240/4=4,25

=4,25

could someone help me solve 7h plus 3

Answers

you can’t simplify it or answer h without a total

What is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

1047.4 cm^3

Step-by-step explanation:

Answer:1047.4

Step-by-step explanation:

.

f(1) = -6

f(2) = -4

f(n) = f(n − 2) + f(n − 1)

f(3) =

Answers

Answer:

-10

Step-by-step explanation:

f(n)= f(n-2)+f(n-1)

• Put n = 3

=> f(3) = f(3-2) + f(3-2)

=> f(3) = f(1) + f(2)

=> f(3) = -6 + -4

=> f(3) = -10

Answer:

it in a file here

Step-by-step explanation:

xycba.com/file

if (x+2)^2=49, then x + 2 = 7. True or False

Answers

I say it is false because it doesnt have any true factors

Q1: What is the measure of angle one?

Answers

Answer:

34

Step-by-step explanation:

omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one

The mass of a sheep is about 6X10^1 kg. The mass of an ant is about 3X10^-3 kg. About how many times more mass does a sheep have than an ant?

Answers

Answer:

Given that average mass of an ant grams.

Given that average mass of a giraffe  Kilograms.

Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.

Like convert kilogram into gram or gram into kilogram.

I'm going to convert kilogram into gram using formula

1 Kg = 1000 g

So the average mass of a giraffe  grams.

Now we just need to divide mass of giraffe by mass of ant to find the answer.

=666666666.667

Hence final answer is  which is approx 666666666.667.

Hope this Helps!



If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y​

Answers

Answer:

-246

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers added to find the mean. -246 is the only right answer.

Answer:

14

Step-by-step explanation:

To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.

There are 6 numbers, including [tex]Y[/tex], which we need to find out.

The Equation:  [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]

We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]

To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].

(The 6 on the left side of the equation is then cancelled out)

[tex]\frac{54+Y}{6} = 13[/tex]  becomes  [tex]54 +Y =13[/tex] × [tex]6\\[/tex][tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]

For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].

Hope the rest of your math goes well :)

Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.

16 in.

A = 187 in 2

The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?

3

® 997 in.

2

B 1,994-

4,488in.3

D 2,992in.

Answers

Answer:

D. 2992 cubic inches of water

Step-by-step explanation:

Given data

Base Area= 187in^2

Height of 16 inches

The expression for the volume of a rectangular shaped tank is

V= Area*Height

substiute

V= 187*16

V=2992 in^3

Hence the volume is 2992 cubic inches of water

price marked at R85 with VAT included​

Answers

Answer: No image? Incomplete question? FREE POINTS!

Step-by-step explanation:

BRAINLIEST PLEASE!

If the length of a rectangle is 10 feet and the width is 3 inches, what is the area of the rectangle in units of
square feet?

Answers

Answer:

30 ft

Step-by-step explanation:

10 feet = 120 inches

120 in x 3 in = 360 in

360 in ÷ 12 in = 30 ft

Heya!
[tex] \underline{ \underline{ \text{question}}} : [/tex] In the adjoining figure , PQRS is a parallelogram and X , Y are points on the diagonal QS such that SX = QY. Prove that the quadrilateral PXRY is a parallelogram.


Answers

Answer:

See Below.

Step-by-step explanation:

We are given that PQRS is a parallelogram, where X and Y are points on the diagonal QS such that SX = QY.

And we want to prove that quadrilateral PXRY is a parallelogram.

Since PQRS is a parallelogram, its diagonals bisect each other. Let the center point be K. In other words:

[tex]SK=QK\text{ and } PK = RK[/tex]

SK is the sum of SX and XK. Likewise, QK is the sum of QY and YK:

[tex]SK=SX+XK\text{ and } QK=QY+YK[/tex]

Since SK = QK:

[tex]SX+XK=QY+YK[/tex]

And since we are given that SX = QY:

[tex]XK=YK[/tex]

So we now have:

[tex]XK=YK\text{ and } PK=RK[/tex]

Since XY bisects RP and RP bisects XY, PXRY is a parallelogram.

HELP ME ASAP!!!!!!!!

See picture below.

Answers

Answer:

Step-by-step explanation:

x+3 - x = 3 = width

2(x+3) = 2x + 6 = length

2x + 6 +2x +6 +3 +3 = 4x + 18 = Perimeter of T

Write an equation in slope intercept form that represents the line shown?

Answers

Answer:

I think the answer would be Y=-2X+5

Hope it helps you *^*

6th grade math plz help

Answers

A is the answer I believe
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