Question

How many drops of water are in a 1.0 liter bottle? Note: estimate the diameter of your droplets.

Answer 1

The problem ask to find the drops of water that could fill up the whole 1 liter bottle of water and estimate its diameter and the answer would be that the diameter is 0.5 ml in estimation and filled up 20 drops per millimeters therefore the drops in a liter is 20,000 drops

Answer 2

The number of drops of water in 1 liter is $\boxed{1912}.$

Further explanation:

The formula for the volume of the sphere can be expressed as,

$\boxed{{\text{Volume}} = \frac{4}{3}\pi {r^3}}$

Here, ‘$r$” represents the radius of the cylinder and “$h$” represents the height of the cylinder.

Given:

The volume water bottle is 1 liter.

Explanation:

Consider the diameter of the drop of water is $1{\text{ cm}}.$

The radius of the water drop can be obtained as follows,

$\begin{aligned}{\text{radius}}&= \frac{1}{2}\\&= 0.5{\text{ cm}}\\\end{aligned}$

Water drop is in the shape of sphere.

The volume of the one drop can be obtained as follows,

$\begin{aligned}{\text{Volume}}&= \frac{4}{3}\pi {r^3}\\&= \frac{4}{3} \times 3.14 \times {\left( {0.5} \right)^3}\\&= 0.523{\text{ c}}{{\text{m}}^3}\\\end{aligned}$

In liter there are $1000{\text{ c}}{{\text{m}}^3}.$

The number of drops can be obtained as follows,

$\begin{aligned}N&= \frac{{{\text{Volume of bottle}}}}{{{\text{Volume of drop}}}}\\&= \frac{{1000}}{{0.523}}\\&= 191\\\end{aligned}$

Hence, the number of drops of water in 1 liter is $\boxed{1912}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, height, and radius depth.