Final answer:
The volume of a hemisphere with a radius of 9 centimeters is approximately 1296.4 cm³.
Step-by-step explanation:
The volume of a hemisphere with a radius of 9 centimeters can be calculated using the formula for the volume of a sphere, which is
V = (4/3)πr³
Substituting the given radius of 9 centimeters into the formula, we get:
V = (4/3)π(9)³
Calculating this expression gives us a volume of approximately 3053.6 cubic centimeters. However, since we are asked to round to the nearest tenth, the correct answer is option D: 1296.4 cm³.