Final answer:
To find the volume of a sphere with a 30 cm radius, you multiply the cube of the radius (27,000 cm³) by 3.14, and then by 4/3, resulting in a volume of 113,040 cm³.
Step-by-step explanation:
To find the volume of a sphere with a radius of 30 cm, we use the formula for the volume of a sphere, which is V = 4/3 π r³. The value for π (pi) given to approximate is 3.14. Plugging in the radius:
V = 4/3 × 3.14 × (30 cm)³
First, calculate the radius cubed (30 cm)³:
30 cm × 30 cm × 30 cm = 27,000 cm³
Now, multiply this by 3.14 and then by 4/3:
V = 4/3 × 3.14 × 27,000 cm³ = 113,040 cm³
Therefore, the volume of the sphere is 113,040 cubic centimeters (cm³).