Question

A solid metal sphere has a radius of 3.53 cm and a mass of 1.497 kg. Part A What is the density of the metal in g/cm3? The volume of sphere is V=43πr3 .

Answer 1

Answer:The density of the metal sphere  is $8.14g/cm^3$

Explanation:

Density is defined as the mass contained per unit volume.

$Density=\frac{mass}{Volume}$

Given : Mass of metal sphere = 1.497 kg = 1497 g   (1kg=1000g)

Density of the metal sphere = ?$g/cm^3$

Volume of the metal sphere = $\frac{4}{3}\times \pi\times r^3=\frac{4}{3}\times 3.14\times (3.53)^3cm^3=184cm^3$

Putting in the values we get:

$Density=\frac{1497g}{184cm^3}$

$Density=8.14g/cm^3$

Thus the density of the metal sphere  is $8.14g/cm^3$