• # question_answer A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 19 cm and the diameter of the cylinder is 7 cm. Find the total surface area of the solid. (Use = 22/7) A)  $398.75\text{ }c{{m}^{2}}$              B)  $418\text{ }c{{m}^{2}}$   C)  $444\text{ }c{{m}^{2}}$                  D)  $412\text{ }c{{m}^{2}}$

(b): Radius of cylinder and hemispheres$=\frac{7}{2}=3.5\,cm$ Height of cylinder $=19-(3.5\times 2)=12\,\,cm$ Total surface area of solid $=2\pi rh+4\pi {{r}^{2}}$ $\Rightarrow$   $2\times 3.14\times 3.5\times 12+4\times 3.14\times {{(3.5)}^{2}}$ $\Rightarrow$   $418\,\,c{{m}^{2}}$