Question

A sphere of radius 1.4m weighs 500kg. Calculate the density of material of sphere.​

Answer 1

Answer:

43.52 kg $m^{-3}$

Explanation:

A sphere of radius 1.4m weighs 500kg.

∴ The volume of the sphere is = $\frac{4}{3} * 3.14 * (1.4)^{3}$ = 11.488 cubic m.

∴ The density of material of sphere is = $\frac{500}{11.488}$ = 43.52 kg $m^{-3}$

Answer 2

Answer:

$density = \frac{mass}{volume} \\ here \: mass \: of \: sphere = 500kg \\ volume = \frac{4}{3}\pi r ^{3} \\ here \: r = 1.4m \\ thus \: volume = \frac{4}{3} \times \frac{22}{7} \times {1.4}^{3} \\ = 11.5 {m}^{3} (approx) \\ density = \frac{500}{11.5} = 43.479(approx)$