• # question_answer A cap is in the shape of a right circular cone of base radius 14 cm and height 26.5 cm. The approximate area of the sheet required to make 7 such caps is A)  $9240\text{ }c{{m}^{2}}$     B)  $9420\text{ }c{{m}^{2}}$     C)  $8000\text{ }c{{m}^{2}}$                 D)  $8906\text{ }c{{m}^{2}}$

(a): The surface area of the sheet required to make the cap would be equal to the lateral surface area of the cap, which is given by the formula $\pi \times r\times 1$ Since the base radius is 14 cm and height is 26.5 cm, the value of ?l? can be calculated using ${{r}^{2}}+{{h}^{2}}={{1}^{2}}\Rightarrow 1=29.97=30$ Thus, 7 caps would require $7\times \pi \times 14\times 30$$=9240\,\,c{{m}^{2}}$