Two cylinder have bases of same size.

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asked Mar 15 in Class X Maths by aditya23 (-605 points)

Two cylinder have bases of same size. The diameter of each is 14 cm. One of the cone is 10 cm high and other is 20 cm high. Find the ratio between their volumes.

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answered Mar 15 by navnit40 (-2,750 points)

                             Cone I                       Cone II

Base diameter      14 cm                         14 cm

Base radius          r1 = 7 cm                   r2 = 7 cm

Height                  h1 = 10 cm                h2 = 20 cm

Volume                V1 = πr12h1                V2 = πr22h2

= π × (7)2 × 10 cm3 : π × (7)2 × 20 cm3  

= 490 π cm3 : 980π  cm3

∴   V1/V2 = 490π/980π = ½ ⇒ V1 : V2 = 1 : 2.

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