The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:

Where
is the radius (
) and
is the height (
).
Then:
2. The total volume of the 12 spheres is:

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

4. Now, you must solve for the radius:
![r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%5Cpi%7D%7B16%5Cpi%7D%7D%5C%5Cr%3D2cm)
5. The diameter is:

Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:

where
is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of
is positive.
Let 
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.

Putting value of a and h in the equation:

Formula used: 
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing
and
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is 
Answer:
domain of the sine and cosine functions is all real numbers
Step-by-step explanation:
range of both the sine and cosine functions is [−1,1]
graph can go left and right to infinity
graph goes up and down between 1 and -1
graph looks like a wave or
like U letters next to each other
UUUU
sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
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