If radius of a cone is doubled keeping the same slant height then find the ratio between new curved surface area to the original one
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Step-by-step explanation:
Let, Radius of smaller cone be r And, Radius of larger cone be 2r Let, Height of both cones be h
To find,
Ratio between volumes of larger and smaller cone
ATQ,
Volume of smaller cone=1/3πr²h
Again, Volume of larger cone=1/(2r)²h
= 1/3T4r²h
Now,
Ratio between both= (1/3TTr²h)/(3T4r²h)=1/4
Hope this helps you!
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