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:
5. The diameter is:
Answer:
<h2>y = 9x + 65</h2>Step-by-step explanation:
To find the equation of the line given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the slope is 8 and the point is ( - 9 , - 7)
Substitute the values into the above formula and solve for the equation
We have
We have the final answer as
<h3>y = 9x + 65</h3>Hope this helps you