Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number.

Answers

Answer 1

Answer:

231in^3

Step-by-step explanation:

We know that the volume of a sphere/globe is given as

V=4 /3πr^3

but the circumference is expressed as

C=2πr

solving for r given  that C=24

24=2*3.142r

24=6.284r

r=24/6.284

r=3.8in

put r=3.6 in the expression for volume we have

V=4 /3π(3.8)^3

V=4 /3π(55

V=(220.59*3.142)/3

V=693.12/3

V=231in^3

The volume of the globe is 231in^3

Answer 2

The volume of the globe is 233  cubic inches.

Important information:

Circumference of the globe along the equator to be 24 inches.

We need to find the volume of the globe.

Volume of sphere:

Let [tex]r[/tex] be the radius of the globe.

Circumference of the globe along the equator is:

[tex]C=2\pi r[/tex]

[tex]24=2\pi r[/tex]

[tex]\dfrac{24}{2\pi }=r[/tex]

[tex]\dfrac{12}{\pi}=r[/tex]

Volume of the globe is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]

[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]

[tex]V=233.444...[/tex]

[tex]V\approx 233[/tex]

Therefore, the volume of the globe is 233  cubic inches.

Find out more about 'Volume of sphere' here:

https://brainly.com/question/381274


Related Questions

Julio es un joven muy emprendedor y ha iniciado un negocio de venta de audífonos y cargadores. Este mes, separa la cantidad de dinero, que ha obtenido en sus ventas, en dos partes: gastos y ganancias y se percata que están a razón de 5 es a 3. Del dinero que gasta, ⅗ lo gasta en compra de más mercadería, 10% en servicios de agua, luz e internet, el restante, S/ 150,60 lo gasta en su alimentación. ¿Cuánto ha sido su ganancia en este mes?

Answers

Answer:

Julio ha ganado 90,36 soles en este mes.

Step-by-step explanation:

Tras una lectura cuidadosa del enunciado podemos inferir que por cada 5 soles destinados al gasto hay 3 soles destinados a ganancias. En lo respectivo a los gastos, la razon del componente restante, cuyo valor es de 150,60 soles, es:

[tex]r = 1 - \frac{3}{5}-\frac{1}{10}[/tex]

[tex]r = 1 - \frac{6}{10}-\frac{1}{10}[/tex]

[tex]r = \frac{3}{10}[/tex]

En otras palabras, el componente restante corresponde al 30 % del dinero destinado a gastos. Entonces, el dinero total destinado a gastos es:

[tex]x = \frac{150,60\,soles}{0.3}[/tex]

[tex]x = 502\,soles[/tex]

Sabiendo la razón existente, es decir, 5 soles para gastos por 3 soles para ganancias, obtenemos la ganancia obtenida por Julio en este mes por la siguiente regla de tres simple:

[tex]y = 150,60\,soles \times \frac{3\,soles}{5\,soles}[/tex]

[tex]y = 90,36\,soles[/tex]

Julio ha ganado 90,36 soles en este mes.

PAY ATTENTION FOR MEGA POINTS!!!
Sam has 6 eggs. She broke 2 of them, cooked 2 of them, and ate 2 of them.
how many eggs are left?

Answers

Answer:

she still has 6

Step-by-step explanation:

she still has six because even though she broke them, cooked them and ate them there are still 6 eggs?

i dont know really lol

there will be 4 more left bc she broke two of them that means she cracked two of them then those are the ones that she ate.

help me .........................................................

Answers

Answer:

d

Step-by-step explanation:

if the slope of BC is 1/2 what is the slope of AC

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete.

However, I'll answer base on the following assumptions.

1. AC and BC are parallel.

2. AC and BC are perpendicular

For (1)

Parallel lines have equal slopes.

So, AC = BC = ½

For (2)

Slope of perpendicular line is:

m1 * m2 = -1

Take m1 as slope of BC

So, we have

½ * m2 = -1

Solve for m2

m2 = -1/½

m2 = -1 * 2

m2 = -2

Hence, the slope of AC is -2

HELPPPP WILL GIVE BRAINLIEST

A water pump can produce 280 gallons in 24 hours

How many gallons per hour is this?

Answers

the answer is 11.6666667

Answer:

6720

Step-by-step explanation:

you you are going to multiply 280 gallons and 24 hours to get 6720 I'm not 100% sure this is the correct answer

Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food, did Jenna buy enough cat food?

Answers

Answer:

Number of times Jenna feeds her cat = 2

Cat food each time

Number of days = 5

Number of cans she bought = 8

Step-by-step explanation:

Required food for each time  

Jenna feeds her cat twice a day

Required food for a day

Required food for 5 days  

Since, 7.5 cans < 8 cans, therefore, Jenna did buy enough cat food for her cat.

what are the five lessons or skills you learned in your t.l.e
9​

Answers

Answer:

Step-by-step explanation:

Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...

Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.

All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.

given the system of linear equations:

2x+1/2y=7
6x-1/2y=5

which new equation would be the result of adding the equations together?

4x=2

8x=2

8x=12

y=12

Answers

Answer:

8x=12 cause y would cancel out and then you just add 2 and 6, and 7 and 5.

Solve for x: 4 − (x + 2) −7

x −9

Answers

Answer:

x = 2

Step-by-step explanation:

4 - (x + 2) - 7 = x - 9

4 - x - 2 - 7 = x - 9

-5 = 2x - 9

4 = 2x

x = 2

Please don't report me if I am wrong :(

x=2!

I think you asked: Solve for x: 4 − (x + 2) −7

The answer is x=2

Let's simplify step-by-step.

4−(x+2)−7

=4+−x+−2+−7

Combine Like Terms:

=4+−x+−2+−7

=(−x)+(4+−2+−7)

=−x+−5

That is the simplified answer. If you think carefully, I think x=2

3a-3(b-c)if a=1 b=3 c=-4​

Answers

Answer:

3(1) _3 (3_4)

3_3 (1)

3_3

0

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelogram is dilated with a scale factor of -1/3

Answers

Answer: [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]

Step-by-step explanation:

Transformation rule for dilation:

[tex](x,y)\to(kx,ky)[/tex] , where k = scale factor

Given : Scale factor = [tex]-\dfrac13[/tex]

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

[tex](-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)[/tex]

[tex](0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)[/tex]

[tex](6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)[/tex]

[tex](3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)[/tex]

Hence, the coordinates of the image if the parallelogram = [tex](\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .[/tex]

Can someone solve fast it’s 381 to the power of 5 divided by 381

Answers

Answer:

1.6056648e+12

Step-by-step explanation:

Answer:

21071715921

Step-by-step explanation:

This is what I got when i entered it into a calculator. Hopefully i'm correct and this helps :) Have a good day/night

HELP ME PLEASE!!! this is a timed testttt

Answers

Answer:

1300

Step-by-step explanation:

add the S numbers than add the T number than there is your answer

17. Given that I ||m, find the value of 'X'.
(5x + 8)
m
53°
n

Answers

Answer:

40

Step-by-step explanation:

There can be only one diagram of a net associated with each three-dimensional figure. Group of answer choices True False

Answers

The answer to this is true

Mike discovered an error in his checking account register and when he recalculated his balance he
was overdrawn in the amount of -$738.57. Mike saved two of his paychecks in the amount of $300.40
each in case of emergencies. If Mike deposited the amount he saved, what would be his current balance?

Answers

Answer:

Mike would have -438.17, poor mike lol

When looking at graphs, which of the following statements is true about functions? If each vertical line passes through only one point, it is a function. Each vertical line must pass through at least two points to be a function. If there are more than 3 points on the graph it is not a funcion. A function cannot be represented on a graph.

Answers

Answer:

If each vertical line passes through only one point, it is a function.

Step-by-step explanation:

The true statement about functions:

-If each vertical line passes through only one point, it is a function.

What is function?

"It is a relation between a set of inputs and a set of possible outputs."

What is vertical line?

"Any line parallel to the Y-axis"

What is vertical line test?"It is a method that is used to determine whether a given relation is a function or not.""This test states that, any vertical line in the plane can intersect the graph of a function at most once".

For given question,

We need to determine where the given graph represents a function or not.

When we look at graphs,

Using vertical line test,

If any vertical line intersects the graph more than once, then the graph is not a function.

Therefore, the true statement about functions:

-If each vertical line passes through only one point, it is a function.

Learn more about the graph of a function here:

https://brainly.com/question/27757761

#SPJ2

what three numbers from the 8 times table can get you to 108

Answers

Answer:

8 doesn't go into 108n but 9 and 12 do.

Step-by-step explanation:

hope this helps! if i doesn't can u please clarify the question more and then i will help u

If you have to use 8 one time it if physically impossible, However if not you can do 6x6x3

please help for 20 points

Answers

The answer will be 5.9°Fahrenheit

Today, a bicycle rider rode her bike 5 1/2 miles to raise money for her school. Yesterday, she rode 6 1/4 miles her grandfather said he would give her 2$ for every mile she rode. How much money did she earn?

Answers

Answer:

.125 or 1/8

Step-by-step explanation:

The question is looking for the difference divided by the long ride. The long ride is 6 1/4 miles, so now we need to find the difference.

In order to do this, we take the larger distance and subtract the smaller distance.

We would take (Tip: Use decimals when you can. They are easier to work with ) 6.25 - 5.5 and we get .75 or 3/4 of a mile.

Now, we put .75 over 6.25 and simplify.

.125 or 1/8

Answer:

22$ simplified

Step-by-step explanation:

5*2=10+12=2*6

=22

Determine whether the relation is a function.
((-6,6),(-1, 2), (2,-3), (5,5)}
Function
Not a function

Answers

Answer:

function

Step-by-step explanation:

every x value has only 1 y value

I need help please!!

Answers

Answer:

rotation

Step-by-step explanation:

tis is a rotation around line x=y

What is an equation of the line that passes through the points (-4, 4) and (8, 1)?​

Answers

Answer:

y=-1/4x +3

Step-by-step explanation:

See the attached above.

Hope it helps :-)

1. Simplify 3√-8x24y36
2. Simplify 3√-50 Enter your answer, in simplest radical form, in the box.

Answers

Answer:

√3

Step-by-step explanation:

Factor 3 into its prime factors

          3 = 3  

Note that 3 is a prime number, it only has itself as a factor (that is on top of the trivial factor "1")

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

The simplified SQRT looks like this:

        sqrt (3)  

Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?

Answers

Answer:

Step-by-step explanation:

Base fee = $17.99

Additional charge = $0.95 for each mile driven

If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.

157.65 - 17.99 = 139.65

This means that the remaining $139.65 is how much he paid for the miles he drove.

Since we know each mile costs $0.95.

Simply divide $139.65 by $0.95 to work out how many miles he drove.

Miles driven = 139.65 / 0.95 = ?

PLSS HELP

The distributions of heights of 1000 men and 1000 women selected at random from the population of a large metropolitan area are shown. Compare the heights of the men and women by comparing the mean and the spread of the data sets.

Answers

Answer:

I think it's 15 in. If wrong please let me know.

Please make brainliest if I'm right :)

which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c

Answers

Answer:

The answer is 1, i.e a-b < a+b

Its C: If a ≥ b, then a + c ≥ b + c

and D: If c > d, then a– c < a – d

Solve the equation.
2(3x + 8) = - 36 +4

Answers

Answer: -8

Step-by-step explanation:

i did the math

Answer:

X= -8

Step-by-step explanation:

2(3X+8)=-36+4

6X+16= -32

6X= -32-16

6X= -48

X= -48/6

X= -8

Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest

Answers

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

how do u divide decimals using long division like for example 9.6 ÷3​

Answers

You get the answer of 3.2

How to Divide Decimals

Move the decimal point in the divisor and dividend. ...

Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

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