In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, what is a reasonable estimate for the unoccupied volume of the cube?
a: 120cm3
b: 140cm3
c: 160cm3
d: 180cm3

In The Diagram The Sphere Touches Each Face Of The Cube At One Point-the Center Of Each Face. If Each

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Te unoccupied volume (V) of the cube is calculated as

V = volume of cube - volume of sphere

   = 7³ - [tex]\frac{4}{3}[/tex] πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )

   = 343 - [tex]\frac{4}{3}[/tex] π × 3,5³

   = 343 - [tex]\frac{4}{3}[/tex] π × 42.875

   = 343 - 179.59438

   = 163.4....

    ≈ 160 cm³ ( to the nearest 10 cm³ )


Related Questions

the sum of three consecutive numbers is 45. what is the lowest

Answers

Answer:

Step-by-step explanation:

5,1, 9

Answer:

5,1 and 9 like said above sksksk

Step-by-step explanation:

notacion cientifica de 81,300

Answers

Answer:

hola!!thanks for the fact 81,300 from scientific notation

Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l

Answers

Answer:

15% discount

Step-by-step explanation:

1 - (102/120)

1 - 0.85 = 0.15 = 15%

Solve the equation: 7(x + 8) = 49​

Answers

Answer:

-1

Step-by-step explanation:

1.)Reorder the terms:

7(8 + x) = 49

(8 * 7 + x * 7) = 49

(56 + 7x) = 49

2.)Solving

56 + 7x = 49

3.)Solving for variable 'x'.

4.)Move all terms containing x to the left, all other terms to the right.

5.)Add '-56' to each side of the equation.

56 + -56 + 7x = 49 + -56

6.)Combine like terms: 56 + -56 = 0

0 + 7x = 49 + -56

7x = 49 + -56

7.)Combine like terms: 49 + -56 = -7

7x = -7

8.)Divide each side by '7'.

x = -1

9.)Simplifying

x = -1

Hope this helps

plz like and brainy

what is a irrational number minus a irrational number?

Answers

Answer:

They won't both be rational but that's about it. If one is rational and the other is not then the result is certainly irrational. Subtracting two irrational numbers might produce a rational value but it might also not. Consider: a=1+2–√, b=2–√ and a=3–√, b=2–√.

Step-by-step explanation:

Answer:

Rational number minus irrational number will result in an irrational number respectively : 2 - √3 is an irrational number. And it's consequent results [ Addition ] will also result the same : Aslike : 2 + √3 is also an irrational number. If you dig deep into the question it is similar to the basic odd minus odd or even minus even.

Hope this helps <3

I need this answered ASAP!

Answers

Answer:

29 sq.inches

Step-by-step explanation

2x2+5x3+5x2=29sq .inches

which fraction is not greater than 2/5
1/2
1/3
2/3
2/4

Answers

Answer:

1/2

Step-by-step explanation:

hope it helped u alot

Answer:

1/3 is not greater than 2/5

Step-by-step explanation:

Doug worked out for 256 minutes.

Doug has an enemy named Cathy

Cathy worked out a total of 4 hours and 15 minutes.

Who worked out more? What was the difference in minutes?

Answers

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

The price of an item has been reduced by 35%. The original price was $17.

Find the price now

Answers

17 - (35/100x17)
Then just solve the equation
Hope it does help

Can you please help me with this?

Answers

A town has a population of 10,000 and grows at 5% every year what will be the population after five years to the nearest whole number

what is the correct answer??

Answers

Answer:

8 x 10 = 80

80 divided by 2 = 40

6 x 8 = 48

48 divided by 2 = 24

40 + 24 = 64 in2 is your answer.

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n

Answers

B. 12n - (6n+3) = 21
D. 4(n+6) - 3n = 28

On a trip, Gavin bought a ping-pong racket for $33. With the tax, he paid $36.96. What is the tax rate, in percent?

Answers

Answer:

12%

Step-by-step explanation:

Tax = 36.96 - 33 = 3.96

Tax rate = 3.96/33 * 100 = 12%

Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?​

Answers

Answer:

8 meters

Step-by-step explanation:

4x2=8

Which expression is equivalent to "4 times the sum of 3 and x"?
A 4(3x)
B, 4x + 3
C, 3 (x+4)
D. 4(x+3)

Answers

Answer:

D is the equivalent expression

it would be D because if it was 4 TIMES the SUM of 3 AND x it would make sense to multiply 4 by 3 and the x

4/5 N= 2/3. N = ?

2/15
5/6
1 1/5
1 7/15

Answers

Answer:

N = 5/6

Step-by-step explanation:

4/5 N= 2/3.  Find N (solve for N).  

Isolate N.  To do this, multiply both sides of the equation by (5/4):

(5/4)(4/5)N= (5/4)(2/3)

becomes N = 10/12, or N = 5/6.

Luanne and Fiona each made a salt water solution. Luanne mixed 3 cups of salt with every gallon of water. Fiona mixed 2 cups of salt with every 3 gallons water. Which of these statements is true?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Luanne

[tex]Salt = 3\ cups[/tex]

[tex]Gallon = 1[/tex]

Fiona

[tex]Salt = 2\ cups[/tex]

[tex]Gallon = 3[/tex]

The question is incomplete, as the options are not given.

However, possible comparison that can be made are

(a) The unit amount of salt

(b) Whose solution is more concentrated with salt

(a) The unit amount of salt

To do this, we divide the amount of salt by the number of gallons.

[tex]Unit = \frac{Salt}{Gallon}[/tex]

For Luanne

[tex]Unit = \frac{3}{1}[/tex]

[tex]Unit = 3 cups/gallon[/tex]

For Fiona

[tex]Unit = \frac{2}{3}[/tex]

[tex]Unit = 0.67cups/gallon[/tex]

(b) Whose solution is more concentrated with salt

By comparing the result in (a)

We have:

[tex]Unit = 3 cups/gallon[/tex] --- Luanne

[tex]Unit = 0.67cups/gallon[/tex] --- Fiona

Luanne unit amount implies that there are 3 cups in every gallon of water;

Fiona unit amount implies that there are 0.67 cups in every gallon of water;

[tex]3 >0.67[/tex]

Hence, Luanne solution is more concentrated with salt

Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared ​

Answers

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Will the product of two numbers with opposite signs have a negative or positive answer?​

Answers

Answer:

The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.

Step-by-step explanation:

A kite and its tail total 48 ft in length. the tails is 7 times the length of the body. How long is the kite's tail?

Answers

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42

What is a perfect 5 pointed star

Answers

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

Usted esta tratando de manejar una inversion con un valor actual de $ 10,000 dentro de 10 años al 5% con acumulación anual. ¿ Cuanto necesita invertir?

Answers

Answer:

$6,139.1

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

P is the amount invested

A is the amount = $10000

r is the rate = 5%

t is the time = 10years

10000 = P(1+0.05)^10

10000 = P(1.05)^10

10,000 = P(1.6289)

Swap

P(1.6289) = 10,000

P = 10,000/1.6289

P = 6,139.1

Hence I need to invest $6,139.1

Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer: 2 ounce

Step-by-step explanation:

Given

16 ounce of the box is shared by Sue and Bill

Sue has eaten [tex]\frac{5}{8}[/tex] of the box

Bill has eaten [tex]\frac{1}{4}[/tex] of the box

total cereal eaten by them is

[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]

So, they have eaten this much of the box. Amount left in the box is

[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]

In ounce it is

[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]

1. F(-5)=2x+1
2. F(-4)=2x+1
3. F(1)=2x+1
4. F(3)=2x+1
5. F(5)=2x+1

Answers

Answer:

1. F(-5) = -9

2. F(-4) = -7

3. F(1) = 3

4. F(3) = 7

5. F(5) = 11

Step-by-step explanation:

For each problem, F(x) is replaced with x.

An example is F(-5) = 2x + 1 (your first question).

To solve this, you replace x with -5.

This creates F(-5) = 2(-5) +1

We just simplify by multiplying -5 by 2 and then adding 1.

-5 times 2 equals -10. -10 plus 1 equals -9.

Your final answer for this example problem would be F(-5) = -9.

This applies to all problems as such -- F(x) where x inside the parentheses replaces all x values in the equation.

Hope this helped!!

what is this can someone please help ?

Answers

Answer:

The answer is most likely A

Hope this helps if t does please consider giving brainliest

Cya on the next one!

Step-by-step explanation:

A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos

Answers

Responder:

A) 1 ano

Explicação passo a passo:

Tempo máximo de tela = 3 horas / dia

Número de anos entre 11 e 18 anos = 8 anos

Vamos calcular o número de tempo de tela em um ano:

Número de dias em um ano = 365

Horas de uso em um ano:

3 horas / dia * 365 dias = 1.095 horas

Horas de uso em 8 anos:

1.095 horas * 8 = 8.760 horas

Convertendo o número de horas em anos:

Número de horas em um ano:

24 horas * 365 dias = 8760 horas por ano

Anos de tempo na tela:

Número de horas em 8 anos / número de horas em um ano

8760/8760 = 1 ano

√(4²×49)

__________________________________________

Answers

Hopes this helps:

Answer: 28

Please mark as brainlist

hii! please help asap. i’ll give brainliest

Answers

It’s either the last or second to last one but I forget what the interquartile range means

Answer: Mean

Step-by-step explanation: the mean, is the average or the expected value that measures the central value of a data set. It is found by adding all of the values in the data set and dividing it by the number of values.

plz plz answer this question
NO LINKS :)

Answers

Answer:

did you forget a picture?

Step-by-step explanation:

Answer: first post the picture

Step-by-step explanation:

1. Take the picture

2. Post it on Brainly

3. Get your answer

A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?

Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

1963.48

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

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