Question

A company is designing a new cylindrical water bottles .The volume of the bottle will be 149 cm3 . The height of the water bottle is 7.5cm what is the radius of the water bottle? Use 3.14 for

Answer 1

2.2361 cm

Explanation:

Given:

A company is designing a new cylindrical water bottles

The volume of the bottle will be 149 cm3.

The height of the water bottle is 7.5 cm

Question asked:

What is the radius of the water bottle?

Solution:

As we know:

`Volume\ of\ cylinder=\pi r^(2) h`

`149=3.14* r^(2) *7.5\\ \\ 149=23.55 * r^(2) \\ \\ Dividing\ both\ sides \ by\ 23.55\\ \\ (149)/(23.55) =(23.55)/(23.55)* r^(2) \\ \\ 6.32696390658=r^(2) \\ \\ Taking\ root\ both\ sides\\ \\ \sqrt[2]{6.32696390658} =\sqrt[2]{ r^(2)} \\ \\ r=2.2361`

Thus, radius of the water bottle is 2.2361 cm.