Designated 44741

Cathedral height 110m, sphere weight 6000kg, dome diameter 43m, crane arm length 25m
a) what was the diameter of this sphere?
b) how much mechanical work had to be done to lift it to the designated place?

Final Answer:

D =  43 m
W =  3300000 J

Step-by-step explanation:

$$\begin{gathered} h=110\text{m} \\ m=6000\text{kg} \\ D=43\text{m} \\ r=25\text{m} \\ D=43=43\text{m} \end{gathered}$$

$$\begin{gathered} g=10{\text{m/s}}^2 \\ {m}_2=m/2=6000/2=3000\text{kg} \\ W=m_2\cdot g\cdot h=3000\cdot 10\cdot 110=3300000\text{J} \end{gathered}$$

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