SOLUTION: 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: 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 1133905: 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 ikleyn(52813) About Me  (Show Source):
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The curved surface area of any cone is the product of pi%2Ar by the slant height,

where r is the base radius.


Therefore, you can find the slant height h of the second cone from the equation

    pi%2A5%2A12 = pi%2A6%2Ah


which gives  h = %285%2A12%29%2F6 = 10 cm.



By knowing the base radius 6 cm and the slant height 10 cm of the second cone, you can find its height H

from the right angled triangle


    H = sqrt%2810%2A10+-+6%2A6%29 = 8 centimeters.