A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What is the volume of the space between the cube and sphere?

Answers

Answer 1

Answer:

Step-by-step explanation:

Volume of a cube = (side)³

                              = (20)³

                              = 8000 cubic in.

Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

Since, sphere just fits in, radius of the sphere = half of the dimension of the cube

r = [tex]\frac{20}{2}[/tex]

r = 10 in

Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]

                                                        = 4188.79 cubic inch

Volume of the space between the cube and sphere = 8000 - 4188.79

                                                                                       = 3811.21 cubic inch


Related Questions

6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?

Answers

Answer:

18 eggs

Step-by-step explanation:

first we divide 24 by 8 to see how many eggs are in one omlete

24/8=3

Now we take 3 times 6 ( because there is 6 people you are making it for)

6x3=18

18 eggs

If you need more help I would love to help!

Answer:

18 eggs

Step-by-step explanation:

1: x/24=6/8

2: 24*6=144-(1st step for cross multiplication)

3: 144/8=18-(2nd step for cross multiplication)

4: 18 eggs-(final answer)      

Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)

Solve negative 2 x plus 3 is greater than or equal to negative 3

Answers

Answer:equal

Step-by-step explanation:

Answer:

x is less than or equal to 3

Step-by-step explanation:

subtract three from both sides which will give you 2x is greater than or equal to -6. then divide by -2 on both sides to isolate x (dividing by a negative number flips the sign and a negative divided by a negative equals a positive) so then you get x is less than or equal to 3

∠1and​ ​∠2​ ​are complementary angles.

m∠1=52°

What is the measure of ​∠2​​?

Answers

Answer: 38°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

Simce the first angle is 52°, subtract 90-52 to get 38°

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. 3. a. How fast was Diego walking in miles per hour?

Answers

Answer:

3 miles per hour

Step-by-step explanation:

It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.

From the table, it is given that:

Time took by Diego in hours = 2 hours

Miles walked by Diego in miles = 6 miles

Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]

                                                                          = 3 miles per hour

Which of the following is not a polynomial?
A. 5x^10 - 4x^8 + 2
B. 3x^4
c. x^8 + 2x^3 + 7
D. 5 - x^2 + 7 x^0

Answers

Answer:

B

[tex] {3x}^{4} [/tex]

A polynomial must have a constant which is absent in equation B

I agree with the person on top have a beautiful day:)

The question is down below

Answers

Answer:

The volume at the highest point is 64 times greater

Step-by-step explanation:

Mathematically, the volume of a sphere is simply the same formula irrespective of the size

Now, we have the formula as;

V = 4/3 * pi * r^3

While the 4/3 pi is a constant term, the value of r changes

initially we have the value of r as d = 2

where r is the radius and d is the diameter

we have this as;

8/2 = 4 ft

r^3 of this is 4^3 = 64

For the second part, we have

r as 32/2 = 16 ft

now, the r^3 part here is 16^3 = 4096

So now, we have to divide the final by the initial

we have this as 4096/64 = 64

So the volume at the highest point is 64 times greater

Please help ASAP due 9:20, will give brainliest

Answers

Answer:

1) 1,095

Step-by-step explanation:

[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]

[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]

round to 1,095

Answer:

The answer is 1

Step-by-step explanation:

[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]

[tex]a = \sqrt{1700^2 - 1300^2}[/tex]

[tex]a = \sqrt{2890000 - 1690000}[/tex]

[tex]a = \sqrt{1200000}[/tex]

[tex]a = 1095.4451150103[/tex]

Factor the expression completely. 60x^3+50x^5

Answers

Answer: 10x^3(6+5x^2)

can you please find x and explain it to me thanks

Answers

Answer:

28

Step-by-step explanation:

I'm not sure but like this

(ADC)=16

(ACB)=12

16+2=(DCB)=28

write the equations in slope y-intercept form

Answers

Answer:

y =MX + c is the formula of slope intercept form

Need help answering this question.

Answers

Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

What is the least number of plums that can be shared equally among 6, 9 or 12 children?

Answers

Answer:

in order to find the least number of plums that can be shared, we have to find the greatest common factor of 6 ,9 and 12. the greatest common factor of 6 , 9 and 12 is 3. so if we have three plums. for 6 children , we have 3 plums.

Step-by-step explanation:

:)

HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0

You must show all work and calculations to receive credit.

Answers

Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]

Step-by-step explanation:

Given

the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]

completing the square

[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]

Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]

HELPPP PLZZ

What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?

Answers

Answer:

The answer is 3.98942, rounded its 3.99.

Step-by-step explanation:

Answer:

3.99 ft

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

volume = 500 ft³

height = 10 ft

πr²h = 500

3.14×r²×10 = 500

r² = 500/3.14×10

= 15.92..

= √15.92

r = 3.9899.. ≈ 3.99 ft

plzz answer it fast asap​

Answers

Answer:

The length of the box is 6 cm. The width of the box is 3 cm. The height of the box is 2 cm.

Step-by-step explanation:

volume = length x width x height In this instance volume = 36 m³. I will let “b” be the length of the box. “w’ will be the width of the box. And “h” will be the height of the box. Therefore we know that b = 2w and b=3h. So: w= b /2 and h=b /3.

36 m³= b(b/2)(b/3)

36 = b³/6

b ³ = 216

b = 6

w = 6/2 = 3

h = 6/3 = 2

Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55

Answers

Answer:

The answer is D. = 0.99

what does tan -1 (0.88) equal

Answers

Answer:

-1.3705187977

what is the quotient when the fraction 1/3 is divided by the whole number 6?

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:


The area of a rectangular field is 99m2. The length of one side is
11m. The farmer needs to know its perimeter to work out how
much fencing will be needed? Help

Answers

Answer:

40 m

Step-by-step explanation:

The length of another side

= 99÷11

= 9 m

The perimeter of the field

= 9×2 + 11×2

= 40 m

Answer:

40 m

Step-by-step explanation:

Hi there!

What we know:

The field is rectangularA = 99 m²Length of one side = 11 m

1) Find the length of the other side

Plug all the given information into the area formula for a rectangle:

[tex]A=lw[/tex] where A is the area, l is the length and w is the width

[tex]99=11w[/tex]

Divide both sides by 11 to isolate w

[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]

Therefore, the width of the field is 9 m.

2) Find the perimeter of the field

[tex]P=2(l+w)[/tex] where l is the length and w is the width

Plug in the length (11 m) and the width (9 m)

[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]

Therefore, the perimeter of the field is 40 m.

I hope this helps!

PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?

Answers

Answer:

they should be either 150 yards away or 200 yards away.

Step-by-step explanation:

Btw The walking dead was a good choice

Hey can you help me fast!!!

Answers

The expression would be 3/4 divided by 1/2

If a point is randomly chosen on the square shown, what is the probability that it will be in the red section?
A)
AA
B
)
WP
M
D)
Pa

Answers

Answer:  A) 1/4

Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.

Solve these equations: tan^2x-3tanx+2=0

Answers

Let u be the value of tan(x) and that the equation above may also be written as,
u² - 3u + 2 = 0
The equation can be factored as follows,
(u - 1)(u - 2) = 0
u - 1 = 0 ; u = 1 and u - 2 = 0 ; u = 2
Thus, tangent(x) = 1 and tangent(x) = 2. The values of x are 45° and 63.43°.

Find the inverse of the function.
f (x) = (x - 5)3=

Answers

Answer:

i think its  (x - 5)3 = (x) f

Step-by-step explanation:

Find the value of x and y. Triangle MNP = triangle TUS

Answers

Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, that is

∠ U = ∠ N

∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Using the triangle theorem, the values of x and y is 32° and 51° respectively

From △MNP

∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)

N = 180 - (142 + 24)

N = 180 - 168

N = 14°

Equate the expression :

2x - 50 = 14

2x = 14 + 50

2x = 64

x = 64 / 2

x = 32°

From ; 2x - y = 13 _____(1)

Substitute x = 32 into the expression ;

2(32) - y = 13

64 - y = 13

64 - 13 = y

51° = y

Therefore, the values of x and y is 32° and 51° respectively.

Learn more : https://brainly.com/question/8317316

cuanto es 1+1
respuestas originales
gracias

Answers

Answer:

Step-by-step explanation:

It’s 2

Answer:

[tex]1 + 1 = 2[/tex]

[tex]espero \: haberte \: ayudado[/tex]

I know this is in german but i really really need help...

Answers

Answer:

i would have helped u

Step-by-step explanation:

but i have forgotten the steps in solving this question

Answer:

is this Afrikaans laguage I don't understand your questions please comment it in English for me

Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?

A. 1
B. 3
C. 4
D. 7
E. 12

Answers

E. 12
You take 4 shirts times 3 pairs of pants

A coin is flipped 8 times. Find the probability of the event: exactly 3 heads​

Answers

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

What would the missing value be?

Answers

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )

m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then

[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators

x - 2 = 7 ( add 2 to both sides )

x = 9

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