The density of gold is 19 300 kg/m³.What is the mass of a gold sphere whose diameter is 0.25 m?
A)87.5 kg
B)158 kg
C)947 kg
D)1260 kg
E)3790 kg

Question

Quizplus · Accepted Answer

The volume $V$ of a sphere is given by the formula $V = \frac{4}{3}\pi r^3$, where $r$ is the radius of the sphere. Given the diameter is 0.25 m, the radius $r$ is 0.125 m. Substituting the values, $V = \frac{4}{3}\pi (0.125)^3 = 0.0082$ m³ (approximately). The mass $m$ can be found using the formula $m = \rho V$, where $\rho$ is the density (19,300 kg/m³ for gold). Thus, $m = 19,300 \times 0.0082 \approx 158$ kg.

The Density of Gold Is 19 300 Kg/m³