Question

30 points!! Determine the volume of the 3-dimensional figure when the of the black shaded 2-dimension image is rotated around the y-axis

Answer 1

Answer:

3103.89 units^3

Step-by-step explanation:

We can model this solid as a sphere subtracted from a cylinder.

The volume of a cylinder is π * r^2 * h and the volume of a sphere is V = 4/3 * π * r^3

We can find our volume through π * r^2 * h - 4/3 * π * r^3

π * (8)^2 * 16 - 4/3 * π * (3)^3

3103.89 units^3