Question

1. lets try a practice question.

if the spheres have a density, p, of 150 kg/m³ and one sphere has a radius of 0.5 meters, calculate the mass of this sphere.
kg
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Explanation:

Step1: Calculate the volume of the sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3} \). Given \( r = 0.5\ m \), then \( V=\frac{4}{3}\pi(0.5)^{3}=\frac{4}{3}\pi\times0.125=\frac{\pi}{6}\ m^{3}\approx0.5236\ m^{3} \).

Step2: Use the density formula to find mass

The density formula is \(
ho=\frac{m}{V} \), so \( m=
ho V \). Given \(
ho = 150\ kg/m^{3} \) and \( V\approx0.5236\ m^{3} \), then \( m = 150\times0.5236=78.54\ kg \).

Answer:

\(78.54\ kg\)