Question
The ratio of the radii of the bases of a cylinder and a
cone is 2:3, while the ratio of their heights is 3:5. What is the ratio of the volume of the cylinder to the volume of the cone?Solution
ATQ,
Let r and R be the radii of the bases of the cylinder and the cone, respectively. r/R =2/3 Let h and H be the heights of the cylinder and the cone, respectively. h/H =3/5 The formula for volume ratio: 
Substituting values: 
Hence, the ratio of the volumes is 4:5.
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