Question:A cone and a sphere have equal radii and equal volumes. The ratio of the diameter of the sphere to the height of the cone is : 

A `3 : 1` 
B `1 : 3 ` 
C `6 : 1` 
D `1 : 2` 

+ Answer
D 

+ Explanation
Let radius of each be R and height of the cone be H.

Then ,`4/3 π R^3`

`= 1/3 π R^3 H or R/H`

`= 1/4 or (2R/H)`

`= 2/4 = 1/2.`

+ Report

Irin Moni

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