A hemispherical cavity of radius R is created in a solid sphere of radius 2 R as shown in the figure. The y…

A hemispherical cavity of radius $\mathrm{R}$ is created in a solid sphere of radius $2\mathrm{R}$ as shown in the figure. The $\mathrm{y}$-coordinate of the centre of mass of the remaining sphere is

1. ${\mathrm{y}}_{\text{CM}}=-\frac{\text{R}}{15}$
2. ${\text{y}}_{\text{CM}}=-\frac{\text{R}}{40}$
3. ${\mathrm{y}}_{\text{CM}}=-\frac{\text{R}}{30}$
4. ${\mathrm{y}}_{\text{CM}}=-\frac{\text{R}}{20}$

Solution

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