Questions: Solve the missing variable. (1 missing variable) Round to the nearest hundredth if needed. C = 11/2 π × 3 × 4 C = 17.2 π ≈ 54.14

Solution Steps

To solve for the missing variable in the equation \( C = \frac{11}{2} \pi \times 3 \times 4 \), we need to evaluate the expression on the right-hand side. This involves multiplying the constants and \(\pi\) together. Once calculated, we can compare it to the given value \( C = 17.2 \pi \) to verify the solution.

We start with the equation for \( C \): \[ C = \frac{11}{2} \pi \times 3 \times 4 \] Calculating the constant part: \[ \frac{11}{2} \times 3 \times 4 = 66 \] Thus, we can rewrite \( C \) as: \[ C = 66 \pi \]

Next, we substitute the value of \( \pi \) (approximately \( 3.1416 \)) into the equation: \[ C \approx 66 \times 3.1416 \approx 207.3451 \] Rounding this to four significant digits gives: \[ C \approx 207.35 \]

Final Answer