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:
3*8 = 24
You will have 24 sections.
Take a rectangle. Divide it into 8 equal sections
Repeat two more times. That will give you 24 equal peices.
Answer:
-2 (6x - y) = -12x + 2y
Step-by-step explanation:
By using the distributive property, you start by multiplying -2 and 6x which gets you -12x. You then multiply -2 and -y (in other words -y = -1y) so, -2* -y would get you 2 as a negative multiplied by a negative is a positive. So, adding them together would get your final answer: -2 (6x - y) = -12x + 2y
Answer:
A
Step-by-step explanation:
When multiplying numbers with exponents, the exponents add together. This means that the correct answer is letter A.
Answer:
A
Step-by-step explanation:
(5x4) - 6 / 2 = x
