Calculation of the density of a sphere knowing its diameter (8285)

, por F_y_Q

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Determine the density of a sphere with a diameter of 6 cm, given that its mass is 250 g.

P.-S.

To calculate the density of a system, you need to know its mass and volume. First, you must calculate the volume of the sphere using the volume equation:

\color[RGB]{2,112,20}{\bm{V = \frac{4}{3}\pi \cdot R^3}}

Given that the diameter is provided, which is twice the radius, the radius of the sphere is 3 cm. Substitute and calculate:

V = \frac{4}{3}\pi \cdot 3^3\ cm^3 = \color[RGB]{0,112,192}{\bm{113\ cm^3}}

Now you can calculate the density of the sphere by dividing the mass by the volume:

\rho = \frac{m}{V} = \frac{250\ g}{113\ cm^3} = \fbox{\color[RGB]{192,0,0}{\bm{2.21\ \frac{g}{cm^3}}}}