The curved surface area of a right circular

Question:

The curved surface area 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

Solution:

Height,

$h=15 \mathrm{~cm}$

$r=\frac{16}{2}$

$=8 \mathrm{~cm}$

$l=\sqrt{r^{2}+h^{2}}$

$=\sqrt{8^{2}+15^{2}}$

 

$=\sqrt{64+225}$

$=\sqrt{289}$

$l=17 \mathrm{~cm}$

The C.S.A. of cone

$=\pi r l$

$=\pi \times 8 \times 17$

$=136 \pi \mathrm{cm}^{3}$

Hence, the correct answer is choice (d).

 

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