Question

mount fuji has approximately the shape of a cone. the half-angle at the apex of this cone is 65 degrees, and the height of the apex is 3800 m. at what height is the center of mass? assume that the material in mount fuji has uniform density.

Answer 1

The center of mass of Mount Fuji, shaped as a cone with uniform density, is located at 950 m from its base.

Step-by-step explanation:

To find the center of mass of Mount Fuji, assuming it has the shape of a cone with uniform density, we can use the formula for the center of mass of a cone. The formula indicates that the center of mass of a cone is located at a height of 1/4 the height of the cone from the base, so long as the density is uniform.

Since the total height of Mount Fuji is given as 3800 m, we simply calculate (1/4) × 3800 m to find the center of mass.

Center of mass = (1/4) × 3800 m = 950 m.

Therefore, the center of mass of Mount Fuji is located at a height of 950 m from its base.