Mensuration Practice Test 6

Question : 30 of 40

Marks: +1, -0

The height of two cones are in the ratio 1 : 3 and the diameters of their bases are in the ratio 3 : 5. The ratio of their volumes is:

Solution:

Height of two cones in ratio = h : H
= 1x : 3 x
Diameter of their base in ratio = r : R
Radius =

{3x}/2:{5x}/2

Ratio of their volumes.
=

1/3πr^2h : 1/3 πR^2H

1/3 π({3x}/2)^2 1x : 1/3π({5x}/2)^2, 3x

{9x^2}/4 . 1x : {25x^2}/4 . 3x

9/4 : {75}/4

= 9 : 75
= 3 : 25

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