1.

A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively , is melted and recast into the form of a cone of base diameter 8 cm . The capacity of the capsule is

Answer»

`0.33 cm^(2)`
`0.43 cm^(2)`
`0.35cm^(2)`
`0.36 cm^(2)`

Solution :Here , R = 4cm and r=2 cm
Volume of spherical SHELL = `4/3pi[(4)^3-(2)^3] cm^3 =(4/3 pi xx 56)cm^3`
Let the height of the CONE be h cm.
`therefore 1/3 pi xx 4 xx h =4/3pi xx 56 RARR h= 14 cm`


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