Final answer:
The volume of a hemisphere with a radius of 30.8 cm is approximately 61,373 cm³. This is calculated by using the formula V = (2/3)πr³ and substituting the given radius into the formula.
Step-by-step explanation:
To calculate the volume of a hemisphere with a given radius, we use the formula for the volume of a sphere, but since a hemisphere is half of a sphere, we divide the result by 2.
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
Therefore, for a hemisphere, the formula becomes V = (2/3)πr³.
In this case, the given radius is 30.8 cm. Applying this to the formula, we get:
V = (2/3)π(30.8 cm)³
Now we can calculate the number:
V = (2/3) x 3.14 x (30.8 cm x 30.8 cm x 30.8 cm)
After performing the calculation:
V = 61,373 cm³ (approximately)