The ratio of slant height and the radius of a cone is 7:4. If its lateral surface area is 792cm2, then find its radius.
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Solution
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Given, slant height (I) : radius ( r ) =7:4 ⇒lr=74 ⇒l=74r…(i) And its lateral surface area =792cm2 ⇒πrl=792 ⇒227×r×74r=792 ⇒22×74×7r2=792 ⇒r2=792×422 =316822=144 ⇒r=√144=12cm Hence, radius of the cone =12cm
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