Answer to Question #58137 in Geometry for sanjiv

Question

1. Water is flowing out of a conical funnel through its apex at a rate of 12 cubic inches per minute. If the tunnel is initially full, how long will it take for it to be one-third full? What is the height of the water level? Assume the radius to be 6 inches and the altitude of the cone to be 15 inches.

2. Two similar cones have volumes 81 pi over 2 inches cube and the slant height of the bigger cone is 7.5 inches. Find the integer solution to the height of the smaller cone.

3. If the slant height of the cone is 16 inches and the total area is 120 pi square inches, find the height of the cone.

4. What is the height if a right circular cone having a slant height of 6 square root of 10 units and a base radius of 6 units?

5. Find the ratio of the slant height to the radius of a right circular cone in which the volume and lateral area are numerically equal. Assume the altitude of the cone to be 9 units.