The chambered nautilus is a deep-sea creature with a spiral shell that can withstand pressure up to 1180 pounds per square inch . Underwater pressure consists of atmospheric pressure, which is 14.7 psi , plus 0.45 psi of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?

Question

The chambered nautilus is a deep-sea creature with a spiral shell that can withstand pressure up to 1180 pounds per square inch    . Underwater pressure consists of atmospheric pressure, which is 14.7 psi   , plus 0.45 psi   of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?

Bytelearn · Accepted Answer

Determine Total Pressure: Determine the total pressure the nautilus shell can withstand. The nautilus shell can withstand a pressure of 1180 psi. This includes the atmospheric pressure.Subtract Atmospheric Pressure: Subtract the atmospheric pressure from the total pressure the shell can withstand to find the pressure due to water depth alone. Total pressure the shell can withstand = 1180 psi Atmospheric pressure = 14.7 psi Pressure due to water depth = 1180 psi - 14.7 psi = 1165.3 psiCalculate Maximum Depth: Calculate the maximum depth the nautilus can withstand by dividing the pressure due to water depth by the pressure per foot of depth. Pressure per foot of depth = 0.45 psi Maximum depth = Pressure due to water depth / Pressure per foot of depth Maximum depth = 1165.3 psi / 0.45 psi/foot Maximum depth ≈ 2590 feetRound to Nearest Foot: Round the maximum depth to the nearest foot. The maximum depth to the nearest foot is 2590 feet, as it is already an integer and does not require further rounding.

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