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Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

Q : 2    Find the total surface area of a cone, if its slant height is \small 21\hspace{1mm}m and diameter of its base is \small 24\hspace{1mm}m

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N Nehul

Given, 

Base diameter of the cone = d=24\ m

Slant height = l=21\ cm

We know, Total surface area of a cone = Curved surface area + Base area

= \pi r l + \pi r^2 = \pi r (l + r)

\therefore  Required total surface area of the cone=

\\ = \frac{22}{7}\times\frac{24}{2}\times(21+12) \\ \\ =\frac{22}{7}\times\frac{24}{2}\times33 \\ = 1244.57 \ m^2

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