If the radius of the sphere S is 8 units, what is the value of k ?
For the next two (02) items that follow : The equation of the sphere S is \( x^2 + y^2 + z^2 - 4x - 6y - 12z + k = 0 \).
- A. -15 ✓
- B. 7
- C. 10
- D. 15
Correct Answer: A. -15
Explanation
The radius r of a sphere is given by \sqrt{u^2 + v^2 + w^2 - d}. Here, \sqrt{2^2 + 3^2 + 6^2 - k} = 8. So, 49 - k = 64, which gives k = -15.
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