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प्रश्न
66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.
उत्तर
We have,
Radius of wire, `"r" = 1/2 = 0.5 "mm"`
Let the length of the wire be l .
As,
Volume of the wire = 66 cm3
`=> pi"r"^2"l" = 66`
`=> 22/7xx0.05xx0.05xx"l" = 66`
`=> "l" = 66xx(7)/(22xx0.05xx0.05)`
∴ l = 8400 cm = 84 m
So, the length of the wire is 84 m.
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A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal, then the ratio of its radius and the slant height of the conical part is
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Reason (R)
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