Find the surface area of (x - 1)² + (y + 1)² + (z - 4)² = 4 that lies below z = 4. A) 8 $\pi$ B) 16 $\pi$ C) 32 $\pi$ D) 64 $\pi$ E) 128 $\pi$

Question

Quizplus · Accepted Answer

The equation represents a sphere centered at (1, -1, 4) with radius 2. The surface area of a hemisphere (half-sphere) is 2πr². Since the sphere is centered at z = 4 and we want the area below z = 4, it is a hemisphere. Thus, the surface area is 2π(2)² = 8π.

Find the Surface Area of (X - 1)2 + (Y π\piπ

Find the Surface Area of (X - 1)² + (Y $\pi$