Question : The radius of a solid right circular cone is 36 cm and its height is 105 cm. The total surface area (in cm2) of the cone is:
Option 1: $4296 \pi$
Option 2: $3996 \pi$
Option 3: $5292 \pi$
Option 4: $3969 \pi$
Correct Answer: $5292 \pi$
Solution :
Radius, $r$ = 36 cm
Height, $h$ = 105 cm
Slant height, $l =\sqrt{r^2+h^2}$
= $\sqrt{36^2+105^2}$
= $\sqrt{1296+11025}$
= $\sqrt{12321}$
= 111 cm
The total surface area of a cone
= $\pi r (r+l)$
= $\pi ×36× (36+111)$
= $5292 \pi$ cm$^2$
Hence, the correct answer is $5292 \pi$.
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