Question 22

The volume of the sphere is 904.32 cubic centimeters.

To calculate the volume of a sphere, the formula \( V = \frac{4}{3} \pi r^3 \) is used. Substituting the radius of 6 cm into this formula yields a volume of approximately 904.32 cubic centimeters.

A) 904.32

This option is correct as it accurately represents the calculated volume of the sphere using the formula \( V = \frac{4}{3} \pi (6)^3 \), which results in 904.32 cubic centimeters.

B) 150.72

This option is incorrect. The volume calculated using the radius of 6 cm does not yield 150.72 cubic centimeters. Instead, this value is significantly lower than the actual calculated volume.

C) 25.12

This option is incorrect. The volume of the sphere cannot be this low given the radius of 6 cm, which would result in a much larger volume than 25.12 cubic centimeters.

D) 75.36

This option is also incorrect. Similar to the previous options, 75.36 cubic centimeters does not reflect the correct application of the volume formula for a sphere with a 6 cm radius, which should result in a value over 900 cubic centimeters.

Conclusion

The correct answer, 904.32 cubic centimeters, accurately reflects the volume of a sphere with a radius of 6 cm. All other options fail to meet the criteria established by the volume formula, demonstrating a misunderstanding of how to calculate the volume of a sphere.