What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*

Answers

Answer 1

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg


Related Questions

Please help!!!!!!
if

Answers

Answer:

if what

Step-by-step explanation:

if we dare or if we must

Answer:

If what?

Step-by-step explanokation:

So, I don't understand what the question is here. Please elaborate.

If WXYZ is a square, which statements must be true? Check all that apply.

Answers

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

What is the square frame?

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

Learn more about square here:
https://brainly.com/question/1658516
#SPJ2



Is the question below a statistical question?
Do teachers make more money than nurses?

Yes or no please answer !!​

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Find the mean of this data set: 11, 13, 13, 11, 13

Answers

Answer:

I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen

Answer:

I'mnot really sure if it might be correct but I believe it's 12.2 :))

Math please help I will be happy :)

Answers

I believe it is 89 percent :)

Answer:

89

Step-by-step explanation:

mark it as the brainliest

I NEED HELP PLSS ITS LIKE 200 POINTS

Answers

Answer:

y=-3/2x+3

Step-by-step explanation:

(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.

This leaves the first and last choice only.

We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope

-3/2x+3 Is the correct answer

question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!

Answers

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;

(-3,4),(2,4),(5,0),(2,-4),(-3,-4),(-6,0)
Find the perimeter of the polygon with the given coordinates.

Answers

Answer:

Step-by-step explanation:

Using the distance formula, d = (x2 - x1)2 + (y2 - y1)2 we can find that each side is 5 units and there are 6 sides. The perimeter is 5×6 = 30 units.

Find the exact value of sin 2pi/3

Answers

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

Match the word with the definition.

Answers

Step-by-step explanation:

practical range = 8

vertical line test = 5

range = 3

domain = 2

relation = 1

function = 4

function Notation =6

practical domain=7

Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150

Answers

Answer:

B.$1,150

Step-by-step explanation:

Given data

Weekly earning= $250

commission= 10%

Sales= $14000

Hence the expression for his total earnings per week is

y= 0.1x-250

x= sales

y= total earning

y=0.1*14000- 250

y= 1400-250

y= $1150

What equation is equivalent to 2 - 3 (5x+2) = 6?

A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6

Answers

The answer is b good luck
The answer is A

Remember that the negative sign in 3 is multiplied with the 2, resulting in -4 in the end. The answer is not B.

Need help with 2 and 3 ASAP PLEASE SHOW WORK

Answers

Answer:  #2; 25.13274,  #3; 167.55161

Step-by-step explanation:

Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.


If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks

Answers

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.

Answers

Answer: I think the answer is $33.42

Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42

Does anybody know the answer to this question Im having lots of problems

Answers

Answer:     3^9

This is the same as writing [tex]3^9[/tex]

====================================================

How to get that answer:

The lowest height is 3^8, and the highest point is 3 times that value.

We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.

Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.

Therefore, 3^8*3^1 = 3^(8+1) = 3^9

Side notes:

3^8 = 6,5613^9 = 19,683

Answer:

3^9

Step-by-step explanation:

3 * 3^8

3^1 * 3^8

3^1+8

= 3^9

At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.

Answers

The value of the car at the start of 2017 will be £ 4116

helpppppppppppppppppppppppp asappppp!!!!!!!!!!1

Answers

Answer:

(2) angle EZD = angle AZB (vertically opposite angles)

angle EZD = 90 degree

(3) angle DXC = 180 - 143 (Linear Pair axioms)

                   = 37 degree

Hope u understand

Please mark as brainliest

Thank You

The measure <EZD = 90°

The measure <DXC = 37°

I hope you understand....

This is a Right answer....

Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.​

Answers

Given :

Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.

He spends a total of $94.94.

Solution :

Let, cost of each shirt is $ x.

It is given that there are 5 shirt and each cost the same.

Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .

So,

[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]

Therefore, the cost of each shirt that Liam buys is $12.99 .

Anya wanted a book that cost $34.99 regularly at the bookstore. If Anya had a coupon for 20% off any regularly priced item at the bookstore , what is the sale price of the book?
A) $14.99
B.$27.99
C.$32.99
D.$34.99

ILL GIVE BRAINLIEST FOR 2 OR 1 RESPONSE WITH AN EXPLANATION :’)

Answers

Answer:

$27.99

Step-by-step explanation:

34.99*.20 = 6.998

34.99-6.998 = 27.992

the answer rounded would be $27.99

Hope this helps

The answer is 27.99 because 34.00x0.20

Esther is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Esther wants to get 65 balloons, how many yards of string will she need? 1 foot = 1 3 yard

Answers

Answer: She needs 130 of string .

Step-by-step explanation:

Given: Length of each ballon string = 6 feet

Total number of ballons = 65

Total string required = ( Length of each ballon string) x (Total number of ballons)

= 6 x 65

= 390 feet

Since 1 foot = [tex]\frac 13[/tex] yard

So, [tex]390\ feet = 390\times\frac13\ yards[/tex]

= 130 yards

Hence, She needs 130 of string .

What is the value of 3'5/3'3

Answers

Answer:

1.05128205

Step-by-step explanation:

hope it helps

#carryonlearning

Help me please I need help

Answers

Answer:

0.47 (Yes - This is a terminating decimal)

0.16666... (Yes - This is a repeating decimal)

0.5473... (No - This is a decimal that neither terminates nor repeates)

0.462 (Yes - This is a terminating decimal)

Step-by-step explanation:

A terminating decimal and a repeating decimal are both types of decimals that can be written as fractions. However, if the decimal is neither of these types, it cannot be written as a fraction.

Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?​

Answers

Answer:  6 different ways

===========================================================

Explanation:

Let's name the friends A, B, C

If person A is first, then B or C could be second and third.

So we have ABC or ACB as two possible outcomes.

If B is first, then either A is second or C is second. Meaning we have BAC or BCA.

If C is first, then we have CAB or CBA

Overall here are the 6 different ways to have the runners finish

ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is first

Note how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.

We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".

Another example of a factorial is:

5! = 5*4*3*2*1 = 120

What is the volume of the solld figure that has a helght of 11 feet and the following base?

volume___ft 3

Answers

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

what is the equation representing

Answers

Exponential growth because a decay would be a fraction in the parenthesis

Answer:

Exponential growth. Hope it helps.

The quotient of Alice’s income and 12 is 1,500

Answers

Assuming that x is Alice’s income:

x/12 = 1500

Answer:

125

Step-by-step explanation:

x = 1500 /  12

  =  125

Find the area of the bolded sector in the circle below.

Leave your answer in terms of pi. Just type what number should be multiplied to the pi)

area sector = ?? π

Answers

Answer:

Area of the sector formula:

A = πr²(θ/360)

We have:

θ = 120r = 12 mi

Substitute values and find A:

A = π(12²)(120/360) = 144π/3 = 48π

Solve the equation plz!
8(3x−2)/9 = 13/7

Answers

Step-by-step explanation:

(3x-2) =13/7x9/8

3x =117/56+2

3x = 117+112/56

x =229/56x3

x= 229/168

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

x=229/168

Step-by-step explanation:

[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?

Answers

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

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