The volume of a cylinder can be expressed as the area of the base times the height. The base of the cylinder is a circle, and the formula for area of a circle = πr², where r is the radius. Hence, the volume of a cylinder = πr²h. Since the volume = 140π m³, set that equal to πr²h, and substitute 8 m for the value of h. This gives:
140π = πr²(8)
From there, you could divide both sides of the equation to isolate the variable r. Then, take the square root of both sides to find the radius. Plug that value of r into the formula for area of a circle, and you have the area of the base of the cylinder.
