Question : If the heights of two cylinders are in the ratio of 7 : 9 and their diameters are in the ratio of 6 : 7, then what is the ratio of the volumes of the cylinders?
Option 1: 6 : 7
Option 2: 7 : 9
Option 3: 5 : 9
Option 4: 4 : 7
Correct Answer: 4 : 7
Solution :
The ratio of heights of two cylinders = 7 : 9
Ratio of diameters = ratio of radii = 6 : 7
Ratio of volumes of two cylinders
=
=
=
=
= 4 : 7
Hence, the correct answer is 4 : 7.