Consider a spherical water tank with radiuS 3 feet. A circular hole with radius 0.7 inches is cut into the bottom of the tank. Initially, the water level in the tank is 2 feet. Determine A(y), the horizontal cross-sectional area of the tank at height y. Then, use Torricelli's Law to determine the time tempty when the tank is empty. (Use 32 ft/s? a he gravitational constant.) 4(y) еmpty seconds

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider a spherical water tank with radius 3 feet. A circular hole with radius 0.7 inches is cut into the bottom of the tank. Initially, the water level in the tank is 2 feet.
Determine A(y), the horizontal cross-sectional area of the tank at height y. Then, use Torricelli's Law to determine the time tempty When the tank is empty. (Use 32 ft/s? as
the gravitational constant.)
A(y) =
tempty
seconds
Transcribed Image Text:Consider a spherical water tank with radius 3 feet. A circular hole with radius 0.7 inches is cut into the bottom of the tank. Initially, the water level in the tank is 2 feet. Determine A(y), the horizontal cross-sectional area of the tank at height y. Then, use Torricelli's Law to determine the time tempty When the tank is empty. (Use 32 ft/s? as the gravitational constant.) A(y) = tempty seconds
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