Final answer:
The volume of a sphere with an 8 cm radius is approximately 2144.7 cubic centimeters, after applying the formula for volume of a sphere, V = ⅔πr³, and rounding to the nearest tenth.
Step-by-step explanation:
To calculate the volume of the sphere, we use the formula V = ⅔πr³, where V represents volume and r is the radius of the sphere. For a sphere with a given radius of 8 cm, we would calculate the volume as:
V = ⅔π(8 cm)³
When you perform the calculations, the result is:
V = ⅔π(512 cm³)
= 4.18667 × 512 cm³
≈ 2144.66 cm³
Rounding to the nearest tenth gives us:
V ≈ 2144.7 cm³