Girl1924
Asked:
January 2023
A right circular cone of radius R and altitude H is circumscribed about a sphere of radius r. Find the relation between H and r if the volume of the cone is to be a minimum.
Girl1924
Asked:
December 2022
Sand is poured at the rate of 10 m3/min so as to form a co- nical pile whose altitude is always equal to the radius of its base. Find the rate at which the area of its base is increasing when the radius is 5 m.
Girl1924
Asked:
December 2022
Water is poured into an inverted conical cistern of altitude 12 ft and radius of base 5 ft. If the water, level rises at 36 ft/min, find the rate at which the dry surface of the inside of the cone is decreasing when the water is 4 ft deep.
Girl1924
Asked:
December 2022
A bridge is 10 m above a railroad track and at right angles to it. A train running at the rate of 20 m/s passes under the center of the bridge at the same instant that a car running 15 m/s reaches that point. How rapidly are they separating 3...