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Firlakuza [10]
4 years ago
8

If the ratio between the radii of the two spheres is 5:8, what is the ratio of their volumes?

Mathematics
2 answers:
atroni [7]4 years ago
5 0
The ratio of theire volumes is 5^3 : 8^3
which is  125: 512
oee [108]4 years ago
5 0

Answer:  The required ratio of the volumes of two spheres is 125 : 512.

Step-by-step explanation:  Given that the ratio between the radii of the two spheres is 5 : 8.

We are to find the ratio of the volumes of the two spheres.

Let, 'r' and 'R' represents the radii of the two spheres, so

r : R = 5 : 8.

The volume of a sphere  with radius 'r' units is given by the formula:

V=\dfrac{4}{3}\pi r^3.

Let, V and V' be the volumes of the spheres with radius r and R units respectively.

Then, the ratio of the volumes of the two spheres will be

\dfrac{V}{V'}=\dfrac{\frac{4}{3}\pi r^3}{\frac{4}{3}\pi R^3}=\dfrac{r^3}{R^3}=\left(\dfrac{r}{R}\right)^3=\left(\dfrac{5}{8}\right)^3=\dfrac{125}{512}\\\\\\\Rightarrow V:V'=125:512.

Thus, the required ratio of the volumes of two spheres is 125 : 512.

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3 years ago
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5 0
3 years ago
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Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
N76 [4]

Answer:

The true statements are:

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Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

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∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

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4 years ago
Mitch has already spent 26 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. Write t
fredd [130]

Answer:

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Step-by-step explanation:

Given:

Number of minutes already spent = 26 minutes

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Let number of calls routed be 'p'

Also Let number of minutes on the phone be 't'.

We need to find the relationship between phone calls routed and mins spend on the phone.

Solution:

Now we know that;

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framing in equation form we get;

t =26+2p

From above we can see that whenever p increases the value of t will increase too .

Hence we can say that minutes spent on phone (t) is directly proportional to the phone calls routed (p)  with equation t =26+2p.

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