A cone has a height of #18 cm# and its base has a radius of #9 cm#. If the cone is horizontally cut into two segments #12 cm# from the base, what would the surface area of the bottom segment be?

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Answer 1 · 2017-01-25T14:03:42

#9pi# #cm^2#

The segment height is 6 cm and let say #r# is a radius of bottom segment.

#r/9=6/18#
#r=6/18*9=3 cm#

The surface area of the bottom #=pir^2=pi(3)^2=9pi#