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

Answer:

2.2361 cm

Step-by-step 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:

$Volume\ of\ cylinder=\pi r^{2} h$

$149=3.14\times r^{2} \times7.5\\ \\ 149=23.55 \times r^{2} \\ \\ Dividing\ both\ sides \ by\ 23.55\\ \\ \frac{149}{23.55} =\frac{23.55}{23.55}\times r^{2} \\ \\ 6.32696390658=r^{2} \\ \\ Taking\ root\ both\ sides\\ \\ \sqrt[2]{6.32696390658} =\sqrt[2]{ r^{2}} \\ \\ r=2.2361$

Thus, radius of the water bottle is 2.2361 cm.