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 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)` (take `pi=(22)/(7)`)

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Rs 770

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