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A solid wooden toy is in the form of a h...

A solid wooden toy is in the form of a hemisphere surmounted by a cone of same radius. The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is `166 5/6 cm^3`. Find the height of the toy. Also, find the cost of painting the hemispherical part of the toy at the rate of Rs. 10 per `cm^2`

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