A pile of coal is stored in a barrel-shaped bin whose base has a radius of 3 meters. the height of the pile measures 1.5 meters. what volume of coal is in the pile (to the nearest hundredth) ?

42.41 cubic meters

The volume of a cylinder is bh where b is the area of the base and h is the height of the cylinder. And since the area of a circle is pi r^2, we have this equation for the volume of a cylinder

V = pi*r^2*h

Now substitute, the known values for r and h, then calculate the result:

V = pi*r^2*h

V = 3.14159*3^2*1.5

V = 3.14159*9*1.5

V = 42.411465

V = 42.41

So the volume of the coal pile is 42.41 cubic meters.