• # question_answer A solid wooden toy is in the form of a cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of wood used in toy. A)  $343.72\text{ }c{{m}^{3}}$              B)  $266.11\text{ }c{{m}^{3}}$    C)  $532.22\text{ }c{{m}^{3}}$              D)  $133.55\text{ }c{{m}^{3}}$

Solution :

(b): Height of cone $=10.2-4.2=6\,\,cm$ Volume of wood $=\frac{\pi {{r}^{2}}h}{3}+\frac{4\pi {{r}^{3}}}{3\times 2}$ $\Rightarrow$   $\frac{3.14\times {{(4.2)}^{2}}\times 6}{3}+\frac{4\times 3.14\times {{(4.2)}^{3}}}{3\times 2}$ $\Rightarrow$   $266.11\,\,c{{m}^{3}}$

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