The Mass Density of Pure Water Is $1,000 \mathrm{~kg} / \mathrm{m}^{3}$

Multiple Choice

The mass density of pure water is $1,000 \mathrm{~kg} / \mathrm{m}^{3}$ . If the molecular mass of water is $18.0 \mathrm{u}$ , how many water molecules are in spherical water balloon of radius $1.0 \mathrm{~cm}$ ?

A) $1.4 \times 10^{23}$
B) $1.0 \times10^{23}$
C) $2.5 \times 10^{24}$
D) $4.2 \times 10^{23}$