Question
Two metallic right circular cones having their height 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each , have been melted together and recast into a sphere . Find the diameter of the sphere .
Answer: Option C
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Volume of sphere = volume of 2 cones
= `[1/3 pi xx (2.1)^2 xx 4.1 + 1/3 pi xx (2.1)^2 xx 4.3] cm^3`
= `1/3 pi xx (2.1)^2 (8.4) cm^3`
Let the radius of the sphere be R
`:.` `4/3 pi R^3 = 1/3 pi (2.1)^3 xx 4 ` or R = 2.1 cm
Hence , diameter of the sphere = 4.2 cm.
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