Answer:
the volume of the cylinder is 60π cubic feet.
Explanation:
The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius of the base, h is the height.
Since the area of the base is given as 6π ft², we can use the formula for the area of a circle to find the radius:
A = πr²
6π = πr²
r² = 6
r = √6
Now we can substitute the given values into the formula for the volume of a cylinder:
V = π(√6)²(10)
V = π(6)(10)
V = 60π
Therefore, the volume of the cylinder is 60π cubic feet.