The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?

Mensuration 09/08/2021

A. 2 : 5
B. 1 : 5
C. 3 : 5
D. 4 : 5

The volume of the cone = (1/3)πr2h

Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2
=> h1/h2 = 2/5
i.e. h1 : h2 = 2 : 5

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