Question

Question:

Answer 1

Answer:

410585609.949 N

Explanation:

$P_0$ = Atmospheric pressure = 101325 Pa

$\rho$ = Density of water = 1000 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

h = Depth = 11000 m

d = Diameter = 1.1 m

r = Radius = $\frac{d}{2}=\frac{1.1}{2}=0.55\ m$

Pressure on the sphere is given by

$P=P_0+\rho gh\\\Rightarrow P=101325+1000\times 9.81\times 11000\\\Rightarrow P=108011325\ Pa$

Area of sphere is given by

$A=4\pi r^2\\\Rightarrow A=4\pi 0.55^2\\\Rightarrow A=3.80132\ m^2$

Force is given by

$F=PA\\\Rightarrow F=108011325\times 3.80132\\\Rightarrow F=410585609.949\ N$

The inward force on the sphere is 410585609.949 N