Question

A sphere has a radius of 1 m and a mass of 10 kg. The density of the sphere would be.

• A. $6.023kg{m}^{-3}$
• B. $0.446kg{m}^{-3}$
• C. $1.267kg{m}^{-3}$
• D. $2.387kg{m}^{-3}$

Answer 1

The correct option is D $2.387kg{m}^{-3}$

Given:
Radius of the sphere, $r=1m$
Mass of the sphere, $m=10kg$

Volume of a sphere, $V=\frac{4}{3}\pi r^3$
$⟹V=\frac{4}{3}\pi (1{)}^3=4.1888m^3$

Density of the sphere, $\rho =\frac{m}{V}$
$⟹\rho =\frac{10}{4.188}=2.387kg{m}^{-3}$