Answer:
The area of the base is [tex]10\pi m^2[/tex]
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:
[tex]Volume=\pi r^2h[/tex]
The volume is given to be:
[tex]V=140\pi m^3[/tex]
The height of the cylinder is h=14 meters.
We substitute these values into the formula to obtain;
[tex]140\pi=\pi r^2\times 14[/tex]
Divide both sides by 14.
[tex]\frac{140\pi}{14}=\pi r^2[/tex]
[tex]10\pi=\pi r^2[/tex]
The area of the base is a circle which is [tex]\pi r^2=10\pi m^2[/tex]
