What is the diameter of a sphere with a volume of 78006 in?

Answers

Answer 1

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

Answer 2

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

To learn more about sphere click :

https://brainly.com/question/27933834

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Related Questions

I WILL GIVE BRAINLIEST PLS HELP!!!!

The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.

TRUE OR FALSE AND ALSO EXPLAIN

Answers

true the hypotenuse is 6 squared

Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?

Answers

Answer:

7 hours 30 minutes

Step-by-step explanation:

Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)

4 hours so far.

takes 1 hour break and returns for 12:30.

She finishes at 4. Time from 12:30 to 4 is (3h30)

3h30 + 4 = 7h30m

Check yourself ^

The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .

In 2011 the boat will be worth $ .

Answers

Answer:

Step-by-step explanation:

[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]

Y=1/3x+14 in point slope form

Answers

Answer:

ok so.. whats the question?

Step-by-step explanation:

Answer:

y = 1/3x + 14

Step-by-step explanation:

The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.


So far, Monica has read ã of a book. She
has read the same number of pages each
day for 5 days. What fraction of the book
does Monica read each day?

Answers

How many pages are their?

12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?

Answers

Answer:8 y sobran 4

Step-by-step explanation:

8entre  4

Answer:

1.5

Step-by-step explanation:

Factor as the product of two binomials.
x^2 - 3x +2=

Answers

Answer:

(x−1)(x−2)

Step-by-step explanation:

Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches

Answers

The answer Is C. 10 inches
Answer: 6 inches

Step-by-step explanation:
volume of a rectangular prism is V=LWH
L is length and that is 20
W is width and that is 20
H is height and that is 6
The reason that L and W are 20 is because you would multiply those to get the base, and the base is already given, 400.
Since you know the volume is 2,400, a quick trick is that you divide 2,400/400. That equals 6.
So 20 x 20 x 6 = 2400

Help me pls pls pls

Answers

Expo. Pls I don’t understand the picture
It will take exactly 18 minutes

21< -4+5x Hurry I need it ​

Answers

x=5
uhhhhh because yea

Help now plsssssssssssssssssssssss

Answers

Answer:

Your answer is 5009.2

Upvote it. Welcome

Answer:

5009,206

Step-by-step explanation:

Hope this helped!

HELP PLS 30 PTS !!!!!!!!!!!!

Answers

Answer:

its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.

Step-by-step explanation:

Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)

Answers

the answer is = -4c -2

What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1

Answers

the answer will be c

A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP

The diagram is not drawn accurately.​

Answers

AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.

On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.

Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?

Answers

Answer:

X = log(0.96)(0.85)

Step-by-step explanation:

Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:

792 x 0.96 ^ X = 674

X = 3.95

So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.

Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95

Answers

Answer and Step-by-step explanation: This function is a probability density function of a random variable X:

[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]

and to calculate probabilities, we will have to integrate it:

[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

Solving:

[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]

Then:

a. P(X < 5)

[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]

[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]

[tex]P(X<5)=\frac{175}{256}[/tex]

P(X < 5) = 0.683

b. P(X < 9)

Since density function's upper limit is 8, probability of x < 9 is 100% or 1.

So, P(X < 9) = 1

c. P(5 < X < 7)

[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]

[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]

[tex]P(5<X<7)=\frac{70}{256}[/tex]

P(5 < X < 7) = 0.273

d. P(X > 3)

[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]

[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]

[tex]P(X>3)=\frac{175}{256}[/tex]

P (X > 3) = 0.683

e. P(X < x) = 0.95

[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]

[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]

[tex]12x^{2}-x^{3}=243.2[/tex]

[tex]-x^{3}+12x^{2}-243.2=0[/tex]

Solving this cubic equation, we have three values for x:

x₁ = -3.909

x₂ = 8.992

x₃ = 6.917

The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.

a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket​

Answers

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation:

Help me from 3 through 8

Answers

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.

a. treatments
b. levels
c. factors
d. None of the above

Answers

Answer:

A - treatments

Step-by-step explanation:

We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;

- no texting while driving.

- sending five text messages while driving

- sending 10 text messages while driving

In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.

Ana, Profesora de Psicología de una escuela, planeo realizar un estudio sobre las
respuestas de los espectadores a ciertos aspectos de las peliculas A By Después
de encuestar su clase de 55 estudiantes, determinó la siguiente información: 17
han visto A. 17 han visto B. 23 han visto c. 6 han visto A y B. & han visto A y C 10
han visto By C 2 han visto las tres peliculas.
a. ¿Quántos estudiantes han visto exactamente dos de estas peliculas?
b. ¿Cuántos estudiantes han visto exactamente una de estas peliculas?
C. ¿Cuántos estudiantes no han visto estas películas?
d. ¿Cuántos estudiantes han visto A. pero ninguna de las otras?​

Answers

Answer:

The answer is below

Step-by-step explanation:

El número de personas que vieron solo A = n (A) = 17

El número de personas que vieron solo B = n (B) = 17

El número de personas que vieron solo C = n (C) = 23

El número de personas que vieron A y B = n (A ∩ B) = 6

El número de personas que vieron A y C = n (A ∩ C) = 8

El número de personas que vieron B y C = n (B ∩ C) = 10

El número de personas que vieron las tres películas = n (A ∩ B ∩ C) = 2

1) Número de estudiantes que han visto dos películas = n (A ∩ B) + n (A ∩ C) + n (B ∩ C) = 6 + 8 + 10 = 24

2)

n (A∩ B '∩ C') = n (A) -n (A ∩ B) -n (A ∩ C) -n (A ∩ B ∩ C) = 17-8-6-2 = 1

n (A'∩ B ∩ C ') = n (B) -n (A ∩ B) -n (B ∩ C) -n (A ∩ B ∩ C) = 17-6-10-2 = 1

n (A'∩ B '∩ C) = norte (C) -n (UNA ∩ C) -n (B ∩ C) -n (UNA ∩ B ∩ C) = 23-8-10-2 = 3

estudiantes que no han visto = 55 - n (A∩ B '∩ C') -n (A'∩ B ∩ C ') - n (A'∩ B ∩ C') - n (A ∩ B) -n ( B ∩ C) -n (UNA ∩ C) -n (A∩ B ∩ C) = 55-1-1-3-6-8-10-2 = 24

3)

número de alumnos que no han visto =

4)

número de estudiantes que vieron solo A = n (A∩ B '∩ C') = 1

Giving brainliest for the right answer so pls help me!

Answers

Answer:

Radius: 3.5

Diameter: 7

i might be wrong tho im sorry !!

The answer:

Radius = 3.5cm

Diameter = 7cm

I hope I've helped <3

36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13

Answers

The answer to the following question is letter D

I need help in my really struggle in math ​

Answers

Answer:

.

Step-by-step explanation:

.

Answer:

tell me a problen and I will help you solve it

Step-by-step explanation:

If 3/4 pounds of Fudge coast $6. 75, how much does 1 pound cost. Write as an equation.

Answers

Divide 6.75 by 4 then you know the unit rate then multiply that by 4

NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?

Answers
4/5
1/5
3/4
1/3

Answers

Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3

Step-by-step explanation:

Answer:

3/4 or 1/3

Step-by-step explanation:


You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain

Answers

Answer:

Yes since 40+30=70 so it would be the same

Step-by-step explanation:

Evaluate 3(c + d) if c = 8 and d = -5

Answers

Substitution time :D

c = 8

d = -5


All you have to do is replace the variables(letters) with the numbers!


3(8 + (-5))

Do parentheses first! And remember that adding a negative is the same as subtracting :)

3(3) = 9

486.664946274 + 541.24664245567 =

Answers

1027.91158873


jdndjdbbdkdkdjddn

Answer:

the answer is 1027.91159

2. "The quotient of a number and 4"

Answers

Answer:

Step-by-step explanation:

let n= number, the quotient of a number and 4 is

n/4

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