The feedback keeps telling me im off by a factor of 10^n and Im just confused I

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The feedback keeps telling me im off by a factor of 10^n and Im just confused I tried every possible answer

(33%) Problem 2: A nozzle with a radius of 0.27 cm is attached to a garden hose with a radius of 0.93 cm. The flow rate through hose and nozzle is 0.65 LUs Randomized Variables n-0.27 cm h-0.93 cm Q = 0.65 L/s 50% Part (a) Calculate the maximum height to which water could be squirted with the hose if it emerges from the nozzle in m. 50% Part (b) Calculate the maximum height (in cm) to which water could be squirted with the hose if it emerges with the nozzle removed, assuming the same flow rate Grade Summary 10% 90% Potential tanQ 1 ( 1 ) 1 7 | 8 | 9 HOME Submissions Attempts remaining: (5% per attempt) detailed view cotanasi0 acos0 atanacotan sinh cosh t cotanho 5% 5% END greesRadians BACKSPACE DEL CLEAR Subemitnteckive upt Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 1 for a 0% deduction

Explanation / Answer

(a)

Maximum height is,

h = v^2 / 2g

where v = velocity = Q^2 / pi*r^2

so, h1 = Q^2 / 2*g*pi^2*r^4

r = 0.27 cm = 0.0027 m

Q = 0.65*10^(-3) m^3 / s

h1 = (0.65*10^(-3))^2 / [2*9.8*(3.14)^2*(0.0027)^2]

h1 = 41.13 m

(b)

if nozzle is removed,

r = 0.0093 m

h2 = (0.65*10^(-3))^2 / [2*9.8*(3.14)^2*(0.0093)^2]

h2 = 0.292 m

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