The formula for the volume of a cylinder is:
[tex]\sf A=\pi r^2 h[/tex]
The base of a cylinder is a circle, and the formula for the area of a circle is [tex]\sf \pi r^2[/tex], so this is what the area of the base represents in the formula, so we can plug in what we know and solve for [tex]\sf \pi r^2[/tex].
[tex]\sf 15=\pi r^2 (1.5)[/tex]
Divide 1.5 to both sides:
[tex]\sf \pi r^2=\boxed{\sf 10~ft^2}[/tex]
So the area of the base of the basket is 10 square feet.
