Question
Which volume formula or formulas show(s) a joint variation? I V=s^3 II V=pi r^2h III V=Bh I only I,II, and III II and III only III only
Solution
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AviannaMaster · Tutor for 5 years
Answer
### II and III only
Explain
## Step 1: Understand joint variation<br />### Joint variation occurs when a quantity varies directly with two or more variables. This means the formula will involve multiplication of multiple variables (e.g., $x \cdot y$). <br /><br />## Step 2: Analyze each formula<br />### - Formula I: \( V = s^3 \) does not show joint variation because it involves only one variable, $s$, raised to a power.<br />### - Formula II: \( V = \pi r^2 h \) shows joint variation because $V$ depends on both $r^2$ and $h$, which are multiplied together.<br />### - Formula III: \( V = B h \) also shows joint variation because $V$ depends on both $B$ and $h$, which are multiplied together.<br /><br />## Step 3: Identify correct formulas<br />### Based on the analysis, only Formulas II and III exhibit joint variation.
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