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The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is :

a) 60π cm2
b) 68π cm2
c) 120π cm2
d) 136π cm2

Answer: d
Explanation: h = 15 cm, r = 8 cm
So,
$$\eqalign{ & l = \sqrt {{r^2} + {h^2}} \cr & \,\,\,\,\,\, = \sqrt {{8^2} + {{\left( {15} \right)}^2}} \cr & \,\,\,\,\,\, = 17\,cm \cr} $$
Curved surface area :
$$\eqalign{ & = \pi rl \cr & = \left( {\pi \times 8 \times 17} \right){\text{ c}}{{\text{m}}^2} \cr & = 136\pi {\text{ c}}{{\text{m}}^2} \cr} $$

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