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The volume of a cone is 6 cubic decimeters less than that of a cylinder. What is the volume of a cone and that of a cylinder
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Cone volume 6 ÷ (3-1) = 3 cubic decimeter
Cylinder volume 3 + 6 = 9 cubic decimeter
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The sum of their volumes is 48 cubic centimeters, the volume of cone is (), the volume of cylinder is ()
If their volume difference is 30 cubic centimeters, then the volume of the cylinder is () and the volume of the cone is ()
When the sum of volumes is 48 cubic centimeters, the volume of a cone is 12 cubic centimeters and that of a cylinder is 36 cubic centimeters
Because V1: V2 = 1:3, we get V2 = 3v1, V1 + V2 = 48, V1 + 3v1 = 48, so V1 = 12, V2 = 36
When the volume difference is 30 cubic centimeters, the cylinder volume is 15 cubic centimeters, and the cylinder volume is 45 cubic centimeters
Because V1: V2 = 1:3, we get V2 = 3v1, V2 -- V1 = 30, 3v1 -- V1 = 30, so V1 = 15, V2 = 45
Here V1 is the volume of the cone and V2 is the volume of the cylinder
The volume difference between a cone and a cylinder with the same base and height is 24 cubic centimeters. The volume of a cone is () cubic centimeters, and that of a cylinder is ()
Square centimeter
The volume difference between a cone and a cylinder with the same base and height is 24 cubic centimeters. The volume of a cone is (12) cubic centimeters, and that of a cylinder is (36) cubic centimeters
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