If p varies jointly as q and the cube of r, and p = 216 when q = 6 and r = 3, find the constant of variation.
1. First, write the equation for joint variation:
When a variable varies jointly as and the cube of , the equation is , where is the constant of variation that we need to find.
2. Then, substitute the given values into the equation:
We are given that , , and .
Substituting these values into the equation , we get .
3. Next, simplify the right side of the equation:
First, calculate , which is Click "Show Answer" to reveal the answer and analysis
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