Find the total surface area of a right circular cone with radius $6 c m$ and height $8 c m$ .

Question

Find the total surface area of a right circular cone with radius 6 cm and height 8 cm-

Toppr Admin · Accepted Answer

Correct option is A- -301-71 cm-2-We have-r-6-cm and -h-8-cm-therefore l-sqrt-r-2-h-2-Rightarrow l-sqrt-36-64-10-cm-therefore- Total surface area-pi r-2-pi rl-pi r-r-l-dfrac-22-7-times 6 -times -10-6-dfrac-22-7-times 6-times 16cm-2-301-71cm-2-

Find the total surface area of a right circular cone with radius $$6$$ cm and height $$8$$ cm.

Correct option is A. $$301.71 cm^2$$.We have,$$r=6$$cm and $$h=8$$cm.$$\therefore l=\sqrt{r^2+h^2}$$$$\Rightarrow l=\sqrt{36+64}=10$$cm.$$\therefore$$ Total surface area$$=\pi r^2+\pi rl=\pi r(r+l)$$$$=\dfrac{22}{7}\times 6 \times (10+6)$$$$=\dfrac{22}{7}\times 6\times 16cm^2$$$$=301.71cm^2$$.