The Radius of a Sphere of Lead (B = 4

Multiple Choice

The radius of a sphere of lead (B = 4.2 × 10¹⁰ N/m²) is 1.000 m on the surface of the earth where the pressure is 1.01 × 10⁵ N/m². The sphere is taken by submarine to the deepest part of the ocean to a depth of 1.10 × 10⁴ m where it is exposed to a pressure is 1.25 × 10⁸ N/m². What is the volume of the sphere at the bottom of the ocean?

A) 4.176 m³
B) 3.189 m³
C) 2.251 m³
D) 1.134 m³
E) 0.988 m³