CBSE Class 10 Maths (Standard) 2015 · Paper 30/1/1 · Question 18

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 $166\frac{5}{6}$ cm${}^3$. Find the height of the toy. Also, find the cost of painting the hemispherical part of the toy at the rate of $\text{₹}10$ per cm${}^2$. $\left[\text{Use }\pi =\frac{22}{7}\right]$