Answer:
The height of the cylinder is 12.1 cm approximately.
Step-by-step explanation:
Given:
The volume of a right cylinder = 7,448 cubic centimeters.
The diameter of the base of the cylinder = 28 centimeters.
To find:
The height(in centimeters)of the cylinder=?
Solution:
we know that, volume of cylinder = πr2h .....................(1)
where
r is radius of base
h is height of the cylinder.
Here, in our problem,
volume= 7448 cubic cm ,
[tex]radius = \frac{diameter }{2}= \frac{28}{2} = 14 cm[/tex]
Substituting these values in the equation(1)
[tex]7448 = \pi \timesx (14)^2 h[/tex]
[tex]h = \frac{7448}{196}\times\pi[/tex]
[tex]height=\frac{38}{\pi }[/tex]
height=12.09
