The number of drops of water in 1 liter is [tex]\boxed{1912}.[/tex]
Further explanation:
The formula for the volume of the sphere can be expressed as,
[tex]\boxed{{\text{Volume}} = \frac{4}{3}\pi {r^3}}[/tex]
Here, ‘[tex]r[/tex]” represents the radius of the cylinder and “[tex]h[/tex]” represents the height of the cylinder.
Given:
The volume water bottle is 1 liter.
Explanation:
Consider the diameter of the drop of water is [tex]1{\text{ cm}}.[/tex]
The radius of the water drop can be obtained as follows,
[tex]\begin{aligned}{\text{radius}}&= \frac{1}{2}\\&= 0.5{\text{ cm}}\\\end{aligned}[/tex]
Water drop is in the shape of sphere.
The volume of the one drop can be obtained as follows,
[tex]\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}[/tex]
In liter there are [tex]1000{\text{ c}}{{\text{m}}^3}.[/tex]
The number of drops can be obtained as follows,
[tex]\begin{aligned}N&= \frac{{{\text{Volume of bottle}}}}{{{\text{Volume of drop}}}}\\&= \frac{{1000}}{{0.523}}\\&= 191\\\end{aligned}[/tex]
Hence, the number of drops of water in 1 liter is [tex]\boxed{1912}.[/tex]
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://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.
