A solid brass sphere of radius (density ) has a concentric spherical cavity drilled…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A solid brass sphere of radius

5.0\,\text{cm}

(density

8.5\times 10^{3}\,\text{kg/m}^3

) has a concentric spherical cavity drilled out of its center. After the cavity is made, the sphere’s mass is measured to be

2.0\,\text{kg}

. Determine the radius of the cavity. (a)

2.5\,\text{cm}

(b)

4.1\,\text{cm}

(c)

3.8\,\text{cm}

(d)

4.8\,\text{cm}