Question

A drop of water of radius 6mm breaks into a number of droplets each of radius 1mm . How many droplets will be formed?

Answer 1

Answer:

the droplets are a 6 of 1mm because the drop of water is of 6 mm and droplets are of 1mm

Answer 2

Given that;

A drop of water of radius 6 mm breaks into a number of droplets each of radius 1 mm.

• We are asked to find number of droplets formed.

★ The key concept to solve this question is that volume of water remains constant during the procedure of droplets formation.

Let shape of the water drop and droplets be spherical.

$\sf:\implies\:Volume_{drop}=Volume_{droplets}$

Assuming that n droplets are formed.

$\sf:\implies\:\dfrac{4}{3}\times\pi R^3=n\times\left(\dfrac{4}{3}\times\pi r^3\right)$

$\sf:\implies\:(6\:mm)^3=n\times (1\:mm)^3$

$\sf:\implies\:n=\dfrac{216\:mm^3}{1\:mm^3}$

$:\implies\:\underline{\boxed{\bf{\gray{n=216\:Deoplets}}}}$

Hence, 216 droplets will be formed from a drop of water of radius 6mm.