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

Complete the statement to write a general rule for dividing expressions with exponents.

Answers

Answer:

409

Step-by-step explanation:

I got it right on mine

HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST

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Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

Find the volume of the figure. Use 3.14 for pi

Answers

Answer:

13

Step-by-step explanation:

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b

Answers

Answer:

The answer would be letter J

The inequality for total expenditure & number of breakfasts is 5 > 1.25b

Formulation of inequality equation for expenditure & breakfasts

Assumed : Number of breakfasts = b

Number of breakfast meals x Price per breakfast meal = Total Expenditure

Total expenditure should be less or than equal to $1.25

So, 1.25b < 5

It implies that inequality : 5 > 1.25b

To learn more about Inequality, refer https://brainly.com/question/19491153?referrer=searchResults

Which of these tables represents a function?

Answers

Answer:

Table W represents a function

Step-by-step explanation:

Mathematically, for us to have a function , no two y-values can take a single x value

But it is possible that two x-values have a single y value

So let us make a selection from the table

We have the correct option as;

W

Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés

Answers

Answer:

the rate of interest is 11.7453%

Step-by-step explanation:

Given that

The present value is € 45,000

The Future value is €52,500

Time period 1 year, 4 months and 20 days i.e. 1.38809 years

We need to find out the interest rate

Here we apply the RATE formula in the spreadsheet

The formula is

= RATE(NPER;PMT;-PV;FV;TYPE)

The PMT would be zero

After applying the above formula, the rate of interest is 11.7453%

Find the 5th term of the arithmetic sequence −5x−6, -x-10,3x−14,.

Answers

I think this is going to help you understand the concept and hope that the answer is correct. Thanks for understanding.

what is the value of [(-3)^3]^2+2^4?

Answers

745!

Hope this helped :)

I can't figure this out and didn't see it on brainly, pls help​

Answers

Answer:

it's 8

Step-by-step explanation:

(10×1/5)^3=2^3=8

Answer:

The answer is 8!

Step-by-step explanation:

Subtract the like terms.  As you can see, the 10 in the numerator and denominator have the same base.  Therefore, you can subtract the exponents, which would be 10^1, or 10.  You would do the same for 5, which would be 5^-1, or 1/5.  You would then make this one fraction, the 10 and 5.  The fraction would be 10/5, or 2 once simplified.  Now, don't forget the outside parentheses!  You would do 2^3, and your final answer would be 8.  Hope this helps!

Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answers

Answer:

B

Step-by-step explanation:

75 divided by 3 = 25

so 25 dollars each day

Answer:

B. 25/1 dollars per day; the cost is $25 for each day.

Step-by-step explanation:

Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)

(Please help me ASAP I will give u 30 points and brainliest.

Answers

Answer:

(4,8)

Step-by-step explanation:

1=8-8 no

5=12-8 no

8=16-8 YES

10=20-8 no

Answer:

I have that same problem!

Step-by-step explanation:

PLEASE HELP I NEED IT TO PASS THIS CLASS

Answers

Answer:

Angle 5 = 37°

Angle 8 = 143°

Step-by-step explanation:

Angle 2 = Angle 8

Reason : Alternate exterior angles are equal.

Therefore,

Angle 8 = 143°

Angle 5 + Angle 8 = 180°

Reason : Angle 5 & 8 are in a linear pair.

Angle 5 + 143° = 180°

Angle 5 = ( 180 - 143 )°

Angle 5 = 37°

Can someone plz help me with this one problem!!!

Answers

Answer:

Step-by-step explanation:

Answer:

v = 9 m

Step-by-step explanation:

the formula for the perimeter is P = 2W + 2L.

Here the perimeter is 42 m = 2(12 m) + 2v.  Solving for 2v, we get:

42 m - 24 m = 2v, or

v = 21 m - 12 m, or

v = 9 m

Can someone please help me

Answers

Answer:

11^2*pi= 121pi

Step-by-step explanation:

3.14x11^2

3.14x121=121pi

In AWXY, w = 6.7 inches, x = 7.4 inches and ZY=71°. Find the area of AWXY, to the
nearest 10th of a square inch.

Answers

Answer:

23.4

Step-by-step explanation:

The area of the triangle is 23.55 in².

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔWXY

w = 6.7 inches

x = 7.4 inches

∠Y = 71°

Now,

The area of the triangle.

= 1/2 (wx) siny

= 1/2 x (6.7 x 7.4) x sin 71
= 1/2 x 49.58 x 0.95

= 23.55

Thus,

The area of the triangle is 23.55 in².

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Find the area
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: I think is is 56 in^2

Step-by-step explanation:

Answer:

I’m pretty sure the answer is 56 in^2

If I’m wrong I’m sorry. I’m not strong on this.

GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?

Answers

Answer:

0.93

Step-by-step explanation:

this is the correct answer you want please follow me and make me brainlist

Find the perimeter of the figure. PLEASE HELP ASAP I’LL MARK BRAINLIEST

Answers

Answer:

I believe it should be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

hope this helps!

a bag contains a total of 300 purple and yellow beads. without looking, a student records the color and places it back in the bag. the student records 9 purple beads and 16 yellow beads. whats is the best prediction of the total number of yellow beads in the bag?

Answers

Answer:

It would be 192

A tree grew 92 4/5 feet in 19 1/3 years. What was the average yearly growth rate of the tree

Answers

Exact Form:
26912/15
Decimal Form:
1794.13
Mixed Number Form:
1794 2/15

Answer:

4 247/290 or 4.85 ft/year

Step-by-step explanation:

93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290

An equation is shown below. 16 – 10 + y= 12 What value of y makes the equation true? a. 0 b. 3 c. 6 d. 12

Answers

Answer:

y= 6

Step-by-step explanation:

16-10

=6

6+6

= 12

Y=6

16-10+y=12

6+y=12
-6 -6
————-
Y=6

Check:

16-10+6=12

6+6=12

12=12✅

Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?

Answers

Answer:

3:4

Step-by-step explanation:

Find the measures of the numbered angles in the diagram below?

Answers

Answer:

9) 130° (vertical to 130°)

10) 50° (supplementary to 130°, 180° - 130° = 50°)

11) 130° (alternate exterior to 130°)

12) 130° (vertical to 130°)

Step-by-step explanation:

Which is a direct variation equation?

1. Y=x+5
2. Y=-5/x
3. Y=-5x
4. Y=x-5

Help

Answers

Answer:

3. y = -5x

Step-by-step explanation:

In a direct variation equation, the constant of proportionality (k) is a direct coefficient of the variable x.

Y will be set equal to x multiplied by this coefficient.

Since y = -5x directly relates x to y, with the constant of proportionality, it is a direct variation equation.

So, 3. y = -5x is the correct answer.

helppppppppppppppppppp

Answers

Answer:

vertical opposite angles are always equal

= 143°

co-interior angles are supplementary ( 180° )

∴ x = 180 - 143 = 37

∴ x = 37°

hope this answer helps you.....

please mark as brainliest.. thank you!

i only need a little guidance on this, please.

Answers

Answer:

Use the following identities:

sin²θ + cos²θ = 1

Since sinθ = -1

cos²θ = 1 - sin²θcosθ = √1 - sin²θ = √1 - (-1)² = √0 = 0

Tangent:

tanθ = sinθ / cosθtanθ = -1 / 0 = undefined in any interval where sinθ = -1

sinØ=-1

cosØ

√1-sin²Ø√1-10

tanØ

sinØ/cosØ1/0undefined

the world's largest Apple had a mass of 1849 grams sue said the mass was greater than 2 kilogram does she stament make sense plz help fast ​

Answers

No, 2 kilograms are 2000 grams.

PLEASE HELP ! giving a lot of points!

Answers

Answer:

458 g144 g

Step-by-step explanation:

As per equation, the initial amount is:

A(0) = 458*(1/2)^(0/30) = 458*1 = 458 g

Sample amount left after 50 years:

A(50) = 458*(1/2)^(50/30) = 144 g (rounded)
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