PLEASE HELP! What is the ratio of the volumes of two spheres, if the ratio of their radii is 13: 9

Answers

Answer 1

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer 2

Answer:

2197:729

hope it helps

please mark brainliest


Related Questions

Find the volume of a cone with a base radius of 5 in. and a height of 12 in.

Answers

Answer:

V = 314

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 5

h = 12

Work:

V = πr²(h/3)

V = 3.14(5²)(12/3)

V = 3.14(25)(4)

V = 314

Answer:

The volume of the cone is 311.1in³.

Step-by-step explanation:

V = ⅓Bh where B = πr²

V = ⅓πr²h

V = ⅓(22/7)(5²)12

V = 0.33(3.142)(25)12

V = 311.1in³

What is the area of the polygon given below

Answers

I think the answer is D

A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C, in centimeters?
A
C = 7.5 × π

B
C = 15 × π

C
C = 2 × 15 × π

D
C = 15 × 15 × π

Answers

The answer is C because the formula is 2 x pai x radius

A quadrilateral has interior angles a, 112 degrees, 97 degrees, and 83 degrees. Find the missing angle measure in the quadrilateral. 83° + 97° + a° + 112° = 360° 292° + a° = 360° The measure of the missing angle is °.

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Answer:

The missing angle is 68 degrees

Step-by-step explanation:

Find the length of the side labeled x. Round intermediate values to the nearest 10th. Use the rounded values to calculate the next value. Round your final answer to the nearest 10th

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Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}[/tex]

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Answers

Answer:

6

Step-by-step explanation:

27/9 =3

now 18/3

=6

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another customer purchases 5 bags of cat food and 2 bags of dog food. The total weight of the purchase is 35 pounds.

A. You write the following system of linear equations to represent this
situation. Is your answer correct?
8x + 2y = 44
5x + 2y = 35

B. Your answer for the next step is 13 79, x = which is incorrect. Explain
the error.

Answers

Answer:

answer is x=3 and y=10

Step-by-step explanation:

Forgot to isolate y and x and simplify

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save.


a + 212 greater-than-or-equal-to 365


If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?

Answers

Answer:

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

Step-by-step explanation:

First, you need to determine the amount that Ben would have after saving $15 for the next 10 weeks:

$15*10=$150

Now, the inequality indicates that the amount left to save plus 212 should be greater than or equal to 365, so you have to add up 212 plus the amount Ben will save in the next 10 weeks to be able to determine if he would be able to buy the stereo:

150+$212=$362

Since Ben would have $362, he won't be able to buy the stereo as he needs to have an amount greater than or equal to 365.

I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?

Answers

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer:

x= 114, y= 66

Step-by-step explanation:

Opposite angles of a parallelogram are equal

Find the correlation coefficient between x and y


X 57 58 59 59 60 61 62 64

Y 77 78 75 78 82 82 79 81

Answers

Answer:

0.603

Step-by-step explanation:

Given the data:

X 57 58 59 59 60 61 62 64

Y 77 78 75 78 82 82 79 81

The Correlation Coefficient, R value gives a measure of the degree of correlation between two variables, the dependent and independent variable. The correlation Coefficient value ranges from - 1 to 1. With negative values depicting a negative relationship and positive values meaning a positive relationship. The closer the R value is to + or - 1, the higher the strength of the relationship. With a value of 0 meaning 'no correlation'.

The correlation Coefficient value of the data above is 0.603, this gives a fairly strong positive correlation

What is the length of Line segment A C? Round to the nearest tenth. 3.0 cm. 9.8 cm. 10.5 cm. 12.8 cm.

Answers

Answer:

10.5 cm

Step-by-step explanation:

A line segment is defined as a part of a line. It is a straight line having two end points. The only difference between a line and line segment is that a line is continuous with indefinite length whereas a line segment has a definite length to it between the two points.

In the figure, the length of the line segment is 10.5 cm (rounded to the nearest tenth).

Answer:

10.5

Step-by-step explanation:

which tool is not needed to construct a perpendiculer bisecter

Answers

Answer:

a protractor is not needed to constant a perpendicular bisecter

Step-by-step explanation:

please mark brainliest

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Answers

Answer:

it is wrong

Step-by-step explanation:

the reason it is wrong is because I said so

Answer:

I am going to say no BECAUSE there are two y values, on the same point. For it to be linear it should only have one point per value. I think... good luck.

A shipment of 5 boxes of toys weighed
34.53 pounds. Each box measures the same
weight, so what's the weight of 1 box?

Answers

Answer:

Each box weighs 6.906 pounds.

Step-by-step explanation:

We know the total weight of the boxes. We also know how many boxes we have. To find the weight of one box, we want to divide the total weight by the total number of boxes.

34.53 / 5

= 6.906

Each box weighs 6.906 pounds.

Hope this helps!

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Answers

Answer:

-822

Step-by-step explanation:

i just typed it in the calculator

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The ____ sequence begins with two ones, and then each new term is formed by adding the two terms before it: 1, 1, 2, 3, 5, 8, 13, 21,...

Answers

Answer:

Fibonacci

Step-by-step explanation:

the Fibonacci sequence

the lenght of an arc in a circle with diameter 10 inches is 1.25π inches. determine the measure of the arc.​

Answers

Answer:

[tex]the \: angle \: is \: 0.25\pi[/tex]

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

[tex]s=ra[/tex]

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

[tex]1.25\pi/5[/tex]

The measure of the arc is 0.25π.

Important information:

Diameter of a circle = 10 inches.Length of arc = 1.25πMeasure of arc:

The formula for arc length is:

[tex]s=r\theta[/tex]

where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.

The diameter of a circle is 10 inches. So, the radius is 5 inches.

[tex]1.25\pi=5\theta[/tex]

[tex]\dfrac{1.25\pi}{5}=\theta[/tex]

[tex]0.25\pi=\theta[/tex]

Therefore, the measure of the arc is 0.25π.

Find out more about 'Measure of arc' here:

https://brainly.com/question/15138285

A 30-ft cable is stretched from the top of an antenna to an anchor point 12-ft from the base of the
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Hii this isn’t about answering your question, don’t press the links ppl give you in the comments they’re old men selling people into sex traffic by you pressing their link and them getting access to your IP address, anyways have a good day!!

regalo puntos y me dan su ID en free fire o el nombre como sale
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Answers

Answer:

Eso es loca

Step-by-step explanation:

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Answer:

OK

Step-by-step explanation:

Pip was thinking of a number. Pip halves the number and gets an answer of 87.2. Form an
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Answers

X/2= 87.2

to find X:

87.2 X 2= 174.4

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Find the Median of the following set of data. (Round to the
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1,1,3,0, 7, 2,0, 3, 1, 6, 8, 1
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Answers

Answer:

12

Step-by-step explanation:

put the numbers in least to greatest. so that would be 0,0,1,1,1,1,2,3,3,6,7,8, then find the one or two. in this case it is two. the medians in the one in the middle

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Answers

Answer:

Dining Hall = 24 square meters

Kitchen = 48 square meters

Together = 72 square meters

ok so-
{[Math from BIM]}
ss below

Answers

Answer:

2 real solutions

Step-by-step explanation:

x=6i, -6i

Show your work please

Answers

Answer:

B 2208cm squared

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w means width

l means length

h means height

input the numbers and you got your answer.

Hope this helped ;)

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Answers

Step-by-step explanation:

A. Right

B. Acute

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80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
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Answers

Answer:

48

Step-by-step explanation:

60 students X 80%=48

20% is 12 students

40% is 24 students

60% is 36 students

so on and so forth.

Answer:

48.

Step-by-step explanation:

.80 x 60 = 48

Complete the table for the given rule. 1 Rule: y = x 4 х y 1 4 13 4 2 을​

Answers

Answer:What is the symbol at the end?

Step-by-step explanation:

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