1. The problem is to understand why $64\pi - 32$ equals approximately 169.1. 2. Recall that $\pi$ (pi) is approximately 3.1416. 3. Substitute $\pi$ with 3.1416 in the expression: $$64\pi - 32 = 64 \times 3.1416 - 32$$ 4. Calculate the multiplication: $$64 \times 3.1416 = 201.0624$$ 5. Now subtract 32: $$201.0624 - 32 = 169.0624$$ 6. Rounded to one decimal place, this is approximately 169.1. Therefore, $64\pi - 32 \approx 169.1$ because $\pi$ is about 3.1416, and the arithmetic follows from that.