Mathematics
The radii of two solid cones are equal and their slant heights are in the ratio 7 : 4. The ratio between their curved surface areas is :
4 : 7
7 : 4
16 : 49
49 : 16
Mensuration
Answer
Let radii of both the cones be r units each.
Let slant height of two cones be l1 and l2.
Curved surface area of first cone = πrl1
Curved surface area of second cone = πrl2
1}{πrl2} = \dfrac{l1}{l2} = \dfrac{7}{4} = 7 : 4.
Hence, Option 2 is the correct option.
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