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Two similar right circular cones have a scale factor of 2:5. What is the ratio of their lateral areas?

Answer 1

Ella Armstrong

Ratio of lateral surface areas of two cones is #4:25#

Lateral surface area of a right circular cone is #A_l=pi*r*l ; r,l#

are the radius and slant height of cone.

Scale factor of two cone is #2:5#

Lateral surface area of cone #1# is #A_l=pi*2r*2l=4 pi r l ; #

Lateral surface area of cone #2# is #A_l=pi*5r*5l=25 pi r l ; #

Ratio of lateral surface areas of two cones is

#(4 cancel(pi r l) )/(25 cancel( pi r l))= 4/25 or (4:25)# [Ans]

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Answer 2

Ella Armstrong

The ratio of their lateral areas is ( 4:25 ).

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Answer from HIX Tutor

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