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rewona [7]
4 years ago
12

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm. Approximately how much

space is in between the two spheres?
Mathematics
1 answer:
Zanzabum4 years ago
5 0
The space between the two spheres will be the volume of the larger sphere minus the volume of the smaller sphere.  Given that the volume of any sphere is:

V=(4πr^3)/3  The space between to sphere of different radius and positioned about the same center is:

S=(4πR^3)/3-(4πr^3)/3  I used S=volume of space, R=larger radius and r=smaller radius...

S=(4π/3)(R^3-r^3), we are told that R=5 and r=4 so

S=(4π/3)(5^3-4^3)

S=(4π/3)(125-64)

S=(4π/3)(61)

S=244π/61

S=4π cm^3

S≈12.57 cm^3  (to nearest hundredth of a ml)
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7 0
2 years ago
Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2
Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}

8 0
2 years ago
What is the lowest value of the range of the function
Alex Ar [27]

The lowest value of the range of the function shown in the graph is -2.

<h3>What is range of a function?</h3>

The range of a function is the set of its possible output values.

In other words, the range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain or independent variables.

The range value are the y values of the graph shown.

Therefore, the lowest value of the range of the function shown on the graph is -2.

learn more on range here: brainly.com/question/9384609

#SPJ1

6 0
2 years ago
Answer please this needs to go to school tomorrow
mote1985 [20]
5 = 29
6 = 34
7 = 39
8 = 44
9 = 49
10 = 54
11 = 59
12 = 64
13 = 69
14 = 74
15 = 79

No. Leila will not have climed 86 flights by the end of 15 weeks
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4 years ago
Twenty divided by 60
frutty [35]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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