Final answer:
To find the volume of a sphere with a radius of 7.5 cm, use the formula V = (4/3)πr³. The calculation results in a volume of approximately 1766 cm³ to the nearest cubic centimeter.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere. To calculate the volume of a sphere with a radius of 7.5 cm, you would substitute 7.5 cm for r in the formula:
V = (4/3)π(7.5 cm)³
V ≈ (4/3)(3.14159)(7.5 cm×7.5 cm×7.5 cm)
V ≈ (4/3)(3.14159)(421.875 cm³)
V ≈ 1766 cm³
To the nearest cubic centimeter, the volume is approximately 1766 cm³.