Question

A cylindrical basket has a volume of 15 cubic ft. If height of the basket is 1.5 ft, what is the area of the base of the basket?

Answer 1

The formula for the volume of a cylinder is:

$\sf A=\pi r^2 h$

The base of a cylinder is a circle, and the formula for the area of a circle is $\sf \pi r^2$, so this is what the area of the base represents in the formula, so we can plug in what we know and solve for $\sf \pi r^2$.

$\sf 15=\pi r^2 (1.5)$

Divide 1.5 to both sides:

$\sf \pi r^2=\boxed{\sf 10~ft^2}$

So the area of the base of the basket is 10 square feet.