In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
D = ?
V = 8050 m³
Step 02:
Hemisphere volume
V = (2 /3 ) π r ³
[tex]\begin{gathered} 8050\text{ = }\frac{2}{3}\cdot\pi\cdot r^3 \\ 12075=\pi\cdot r^3 \end{gathered}[/tex][tex]\sqrt[3]{\frac{12075}{\pi}}=r[/tex]15.6644 = r
D = 2 * r = 2 * 15.6644 = 31.3287
The answer is:
D = 31.3 m
