1.

A cylinder and cone have bases of equal radii and are of equal heights. Show that their volumes are in the ratio of 3 : 1.

Answer»

Given dimensions are: 

Cone: 

Radius = r 

Height = h 

Volume (V) = \(\frac{1}{3}\)πr2

Cylinder: 

Radius = r 

Height = h 

Volume (V) = πr2

Ratio of volumes of cylinder and cone = πr2h : \(\frac{1}{3}\)πr2

= 1 : \(\frac{1}{3}\)

= 3 : 1 

Hence, their volumes are in the ratio = 3 : 1.



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