Answer
$V = (1/3)(\pi)(R^2)(H)- (1/3)(\pi)(r^2)(h)$
Work Step by Step
We know that the larger cone has radius R and height H. We know that the smaller cone has radius r and height h. Using the equation for volume and the fact that the shaded area is equal to the volume of the larger cone minus the volume of the smaller cone, we obtain: $V = (1/3)(\pi)(R^2)(H)- (1/3)(\pi)(r^2)(h)$
