For this case we have by definition, that a hemisphere represents half of a sphere.
Its volume is given by:
[tex]V = \frac {2} {3} \pi * r ^ 3[/tex]
Where "r" represents the radius.
Substituting the data and clearing the radio we have:
[tex]\frac {2} {3} \pi * r ^ 3 = 18 \pi\\\frac {2} {3} * r ^ 3 = 18\\r ^ 3 = 18 * \frac {3} {2}\\r ^ 3 = 27\\r = \sqrt [3] {27}\\r = 3[/tex]
Thus, the radius of the hemisphere is 3 inches.
Answer:
[tex]3 \ in[/tex]
