Question

Determine the volume of a water droplet assuming it to be spherical with a diameter of 2 mm ?

• A. $4.19$ x ${10}^{-6}{m}^3$
• B. $2.09$ x ${10}^{-6}{m}^3$
• C. $4.19$ x ${10}^{-9}{m}^3$
• D. $2.09$ x ${10}^{-9}{m}^3$

Answer 1

The correct option is C $4.19$ x ${10}^{-9}{m}^3$

Given:
Diameter of the spherical droplet is $2mm$
so, radius of water droplet (R) = $1mm$

We know that volume of a sphere (V) is given by
V $=\frac{4}{3}$$\pi$$R^3$ (substituting R = $1mm$)
V $=\frac{4}{3}$x$\pi$ x$1^3$ = $4.19m{m}^3$

Now $1m{m}^3$ = ${10}^{-9}{m}^3$

So,
V = $4.19$ x ${10}^{-9}{m}^3$
Therefore, the volume of water droplet is $4.19$ x ${10}^{-9}{m}^3$