Respuesta :
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:
[tex]Volume\ of\ cylinder=\pi r^{2} h[/tex]
[tex]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[/tex]
Thus, radius of the water bottle is 2.2361 cm.
