The cylinder below has a volume of 785 ft^3. and the cone has a volume of 314 ft^3. ( see attached picture) which explains which figure has the greater height? the cylinder has a greater height because the bases are the same, but the cylinder has a greater volume. the cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone. the cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone. the cone has a greater height because the bases are the same, but the volume of the cylinder is less than 4 times the volume of the cone.