The diameter of a cone is 14 cm and its slant height is 9 cm .Then the area of its curved surface is
138 $c m^{2}$
198 $c m^{2}$
195 $c m^{2}$
148 $c m^{2}$

Question

The diameter of a cone is 14 cm and its slant height is 9 cm -Then the area of its curved surface is138 displaystyle cm-2-198 displaystyle cm-2-195 displaystyle cm-2-148 displaystyle cm-2-

Toppr Admin · Accepted Answer

We know that the area s of the curved surface of a right circular cone of radius r and slant height I is given by-xA0-S-x3C0-rlHere -xA0- -xA0-xA0-r-142cm-7cmandl-9cm-x2234-S-227-xD7-7-xD7-9cm2-198cm2

The diameter of a cone is 14 cm and its slant height is 9 cm .Then the area of its curved surface is138 cm2198 cm2195 cm2148 cm2

We know that the area s of the curved surface of a right circular cone of radius r and slant height I is given by S=πrlHere r=142cm=7cmandl=9cm∴S=227×7×9cm2=198cm2

The diameter of a cone is 14 cm and its slant height is 9 cm .Then the area of its curved surface is
138 $c m^{2}$
198 $c m^{2}$
195 $c m^{2}$
148 $c m^{2}$

We know that the area s of the curved surface of a right circular cone of radius r and slant height I is given by
$S = π r l$
Here $r = \frac{14}{2} c m = 7 c m a n d l = 9 c m$
$∴ S = \frac{22}{7} \times 7 \times 9 c m^{2} = 198 c m^{2}$