SOLUTION: The curved surface areas of two cones are equal. The base radius of one is 5 cm and its slant height is 12 cm. Calculate the height of the second cone if its base radius is 6 cm.

Algebra ->  Surface-area -> SOLUTION: The curved surface areas of two cones are equal. The base radius of one is 5 cm and its slant height is 12 cm. Calculate the height of the second cone if its base radius is 6 cm.      Log On


   

Question 1133942: The curved surface areas of two cones are equal. The base radius of one is 5 cm and its slant height is 12 cm. Calculate the height of the second cone if its base radius is 6 cm.
Answer by josgarithmetic(39617) About Me  (Show Source):
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Area of just the curved surface of a cone of radius r and height h is pi%2Ar%2Asqrt%28r%5E2%2Bh%5E2%29.

SLANT HEIGHT formula is sqrt%28r%5E2%2Bh%5E2%29.

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The other cone has slant height 10, and cone height 8.