Cellist Yo-Yo Ma plays a note at 250 Hz. A studio technician performs an

analysis of the frequency spectrum and reports that she measured the SIL of its peaks (those
of the frequency spectrum): 63 dB at 250 Hz, 58 dB at 500 Hz, 56 dB at 750 Hz, and 51 dB at
1000 Hz.

Assuming that only the peaks in the frequency spectrum matter (they dominate everything
else), what is the total SIL in dB?

To calculate the total sound intensity level (SIL) in decibels (dB), we need to find the highest peak SIL among the given frequency peaks.

The highest peak SIL among the given peaks is 63 dB at 250 Hz.

Therefore, the total SIL is 63 dB.

To find the total Sound Intensity Level (SIL) in decibels (dB), we can simply add up the individual SIL values at each peak frequency.

In this case, the SIL at each peak frequency is given:

- 63 dB at 250 Hz
- 58 dB at 500 Hz
- 56 dB at 750 Hz
- 51 dB at 1000 Hz

To calculate the total SIL, we just need to add these values together:

Total SIL = 63 dB + 58 dB + 56 dB + 51 dB

Adding these values, we get:

Total SIL = 228 dB

Therefore, the total SIL in this case is 228 dB.