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.

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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(52814)   (Show Source): You can put this solution on YOUR website!
.

The curved surface area of any cone is the product of  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

     = 


which gives  h =  = 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 =  = 8 centimeters.      


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