Plane and solid geometry . the sphere in the cylinder, then fill the cone with water and empty it intothe cylinder. How nearly is the cylinder filled ? Next fill the cone withwater and empty it into the cylinder three times. Is the cylinder filled ?Ex. 1593. From the results of Ex. 1592 state, in the form of atheorem, the relation of the volume of a sphere: (a) to the volume of acircumscribed cylinder; (h) tp the volume of the corresponding these statements. 1001. Historical Note. The problem *To find a sphere equivalentto a given cone or a given cylinder (Exs. 1590 and 1591), as we
Plane and solid geometry . the sphere in the cylinder, then fill the cone with water and empty it intothe cylinder. How nearly is the cylinder filled ? Next fill the cone withwater and empty it into the cylinder three times. Is the cylinder filled ?Ex. 1593. From the results of Ex. 1592 state, in the form of atheorem, the relation of the volume of a sphere: (a) to the volume of acircumscribed cylinder; (h) tp the volume of the corresponding these statements. 1001. Historical Note. The problem *To find a sphere equivalentto a given cone or a given cylinder (Exs. 1590 and 1591), as well as theproperties that the volume of a sphere is two thirds of the volume of thecircumscribed cylinder and twice the volume of the corresponding cone(Exs. 1592 and 1593), are due to Archimedes. The importance attachedto this by the author himself is spoken of more fully in §§ 542 and 974. 462 SOLID GEOMETRY Ex 1594. A bowl whose inner surface is an exact hemisphere ismade to hold J gallon of water. Find the diameter of
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