Water flows through a water hose at a rate of $Q}_{1}=680c\frac{{m}^{3}}{s$ , the diameter of the hose is ${d}_{1}=2.2cm$ . A nozzle is attached to the water hose. The water leaves the nozzle at a velocity of $v}_{2}=9.2\frac{m}{s$ .

a) Enter an expression for the cross-sectional area of the hose,$A}_{1$ , in terms of its diameter, $d}_{1$

b) Calculate the numerical value of${A}_{1},$ in square centimeters.

c) Enter an expression for the speed of the water in the hose,$v}_{1$ , in terms of the volume floe rate $Q}_{1$ and cross-sectional area $A}_{1$

d) Calculate the speed of the water in the hose,$v}_{1$ in meters per second.

e) Enter an expression for the cross-sectional area of the nozzle,$A}_{2$ , in terms of $v}_{1},{v}_{2$ and $A}_{1$

f) Calculate the cross-sectional area of the nozzle,$A}_{2$ in square centimeters.

a) Enter an expression for the cross-sectional area of the hose,

b) Calculate the numerical value of

c) Enter an expression for the speed of the water in the hose,

d) Calculate the speed of the water in the hose,

e) Enter an expression for the cross-sectional area of the nozzle,

f) Calculate the cross-sectional area of the nozzle,