Question

What is the mass in kg of a metal ball whose density is 8.95 g/cm 3 and diameter is 12.5 cm?

Answer 1

$9.148 \: kg$

Explanation:

$Given, \: \: density=8.95g/cm³ \: \: and \: \: r=12.5cm/2=6.25cm\\ we \: \: know \: \: \boxed{density = \frac{mass}{volume} } \\ volume \: \: of \: \: ball = \frac{4}{3}\pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times (6.25) ^{3} = 1022.13 \: cm^{3} \\ Now, \: \: \: mass = density \times volume \\ = 8.95g/cm³ \times 1011.13 \: cm^{3} \\ = 9148.06g = 9.148 \: kg$