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  • The curved surface area of a right circular cone is 12320 cm^2. If the radius of the base is 56 cm. Find its height.

The curved surface area of a right circular cone is 12320 cm^2. If the radius of the base is 56 cm. Find its height.

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eginarrayl extGiven radius of the cone=56 extcm\ eginarrayl extthe curved surface area of right circular cone=12320 extcm^2\ pi rl=12320\ Rightarrow l=frac123203.14 imes56approx70 extcm\ extHeight of the cone=sqrtleft(l^2-r^2 ight)=sqrt70^2-56^2=sqrt1736=42 extcm\ extHence the height of the right circular cone=42 extcm.\ \ endarrayendarray

Posted by

Deependra Verma

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Curved surface area of a cone is 12320cm^2

                     r=56cm

                     h=?

Curved area of a cone=πrl 

12320=226×√h^2×r^2

12320=22/7×56×√h^2×(56)^2

12320×7/22×56=√h^2+(56)^2

= (70)^2=h^2+(56)^2

= 70^2-56^2=h^2

= 4900-3136=h^2

= 1769=h^2

= h=√1769

= h=42cm , ANSWER

Posted by

Kanishka Rawat

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