Answer:
3 inches
Step-by-step explanation:
Volume of a hemisphere = [tex]\frac{2}{3}[/tex]π[tex]r^{3}[/tex]
=> 18π = [tex]\frac{2}{3}[/tex]π[tex]r^{3}[/tex]
=> 18 = [tex]\frac{2}{3}[/tex][tex]r^{3}[/tex]
=> [tex]r^{3}[/tex] = 18 × [tex]\frac{3}{2}[/tex]
=> [tex]r^{3}[/tex] = 27
=> r = [tex]\sqrt[3]{27}[/tex]
=> r = 3 inches
Therefore, the radius of the hemisphere in inches is 3 inches.
Hope it helps :)
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