The volume of a cylinder can be found using the formula:
π r² h,
where r is the radius of the circular base and h is the height of the cylinder.
If we plug in the measurements of the cylinder, we get:
π (6²) (28)
When this is simplified, we get that the volume of the cylinder is:
1008π cubic cm
Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.
Every hour, the medicine concentration decays by a factor of 4%.
Step-by-step explanation:
The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:
The decay function is:
Here,
<em>y</em> = final amount
<em>a </em>= initial amount
<em>r</em> = decay rate
<em>t</em> = time
From the provided expression the decay rate is:
Thus, every hour, the medicine concentration decays by a factor of 4%.