Answer:
a. 18 cm
Step-by-step explanation:
We are given that a circle has an area of 324π cm2. We are required to determine its radius. The formula for the area of a circle with radius r units is;

We plug in the area given and solve for r;

The radius of the circle is 18 cm
Answer:
3, 8
Step-by-step explanation:
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
Answer: y = 15, x = 10
<u>Step-by-step explanation:</u>
NOTE: "varies directly" is of the form
where k is the constant of proportionality.
First, input the given x and y-values to find k

Next, input the given value and k = 3 to solve for the missing variable.

You need to find the GCF of both numbers. Both of these numbers have a GCF of 1 so the answer is already in simplest form. Unless you want it in a decimal which in that case you just divide. 5.34