2 metallic right circular cones having their height 4.1cm and 4.3cm respectively and the radii of their bases 2.1cm each have been melting together and recasted into a shpere determine the diameter of the sphere so formed
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The diameter of the sphere so formed is 6.66 cm
Step-by-step explanation:
Cone 1 :
Height of cone = 4.1 cm
Radius of cone = 2.1 cm
Volume of cone =
Cone 2 :
Height of cone = 4.3 cm
Radius of cone = 2.1 cm
Volume of cone =
Volume of sphere =
Two cones are melted to form sphere
So, volume of two cones will be equal to the volume of sphere
So,
So, radius of sphere = 3.33 cm
Diameter of sphere =
Hence the diameter of the sphere so formed is 6.66 cm
#Learn more :
2 metallic circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 21 cm each have been melted together and recast into a sphere. Find the diameter of the sphere.
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