Identify the missing symbol.

15π ? 3V62

A. <
B. =
C. >

1 answer

To compare \( 15\pi \) and \( 3\sqrt{62} \), we first need to calculate their approximate values.

  1. Calculate \( 15\pi \): \[ \pi \approx 3.14 \implies 15\pi \approx 15 \times 3.14 = 47.1 \]

  2. Calculate \( 3\sqrt{62} \): \[ \sqrt{62} \approx 7.87 \implies 3\sqrt{62} \approx 3 \times 7.87 \approx 23.61 \]

Now we compare the two values:

  • \( 15\pi \approx 47.1 \)
  • \( 3\sqrt{62} \approx 23.61 \)

Since \( 47.1 > 23.61 \), we can conclude that:

\[ 15\pi > 3\sqrt{62} \]

Therefore, the missing symbol is \( > \).

The answer is C. >.