Question

A silver sphere has a mass of 5.492 g and a diameter of 10.0 mm. What is the density of silver metal in grams per cubic centimeter? The volume of a sphere equals 4νr3/3, where Jt is 3.14, and r is the radius.

Answer 1

Explanat
`\rho=10.5(g)/(cm^3)`ion:

Hello,

In this case, considering the given diameter which is related to a radius of 5.0 mm and the formula for the calculation of the volume of the sphere, its volume in cubic centimeters (5.00 mm = 0.5 cm) is then:

`V=(4)/(3) \pi r^3=(4)/(3)*\pi*(0.5cm)^3\\\\V=0.524cm^3`

In such a way, the density turns out:

`\rho =(m)/(V) =(5.492g)/(0.048m^3) \\\\\rho=10.5(g)/(cm^3)`

Best regards.