A compressed gas with a total mass of $107 \mathrm {~kg}$ is stored in a spherical container having a radius of 0.521 m. What is the density of the compressed gas? A) 181 kg/m³ B) 110 kg/m³ C) 134 kg/m³ D) 161 kg/m³

Question

Quizplus · Accepted Answer

The volume of the sphere is calculated using the formula $ V = \frac{4}{3} \pi r^3 $. Substituting $ r = 0.521 $ m, the volume $ V \approx 0.592 $ m$^3$. The density is mass/volume, so $ \text{density} = \frac{107 \text{ kg}}{0.592 \text{ m}^3} \approx 181 \text{ kg/m}^3 $.

A Compressed Gas with a Total Mass Of 107 kg107 \mathrm {~kg}107 kg

A Compressed Gas with a Total Mass Of $107 \mathrm {~kg}$