The curved surface area of a right circular cone is twice that of another right circular cone. If the slant heightof the second cone is twice that of the first cone, find the ratio of the radius of first cone to that of second cone.
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given,
ratio of slant heights l:L = 1:2
ratio of CSA =1:2
CSA of first cone : CSA of second cone = 1:2
CSA1:CSA2=1:2
CSA2=2(CSA1)
πrl=πRL
rl=RL
rl=R(2l)
r=2R
r:R=2:1
here r is the radius of the small cone
R is the radius of the big cone
l is the slant height of the small cone
L is the slant height of the big cone
CSA1 is the CSA of the small cone
CSA2 is the CSA of the big cone
ratio of slant heights l:L = 1:2
ratio of CSA =1:2
CSA of first cone : CSA of second cone = 1:2
CSA1:CSA2=1:2
CSA2=2(CSA1)
πrl=πRL
rl=RL
rl=R(2l)
r=2R
r:R=2:1
here r is the radius of the small cone
R is the radius of the big cone
l is the slant height of the small cone
L is the slant height of the big cone
CSA1 is the CSA of the small cone
CSA2 is the CSA of the big cone
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