1. The respective ratio of radii of two right circular cylinders (A and B) is 4 : 5. The respective ratioof volume of cylinders A and B is 12 : 25. What is the respective ratio of the heights of cylinders A and B ?
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By: anil on 05 May 2019 01.30 am
Volume of a cylinder =$$pi r^2 h$$
where r and h are the radius and height of the cylinder respectively.
The ratio of volumes and ratio of radii of the two cylinders is given.
Ratio of square of their radii = 16 : 25
Therefore the ratio of their heights $$h_1$$ : $$h_2$$ = $$12 imes 25$$ : $$16 imes 25$$
where $$h_1$$ and $$h_2$$ are the heights of two cylinders.
the ratio of their heights = 12 : 16 = 3 : 4
Option E is the correct answer
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where r and h are the radius and height of the cylinder respectively.
The ratio of volumes and ratio of radii of the two cylinders is given.
Ratio of square of their radii = 16 : 25
Therefore the ratio of their heights $$h_1$$ : $$h_2$$ = $$12 imes 25$$ : $$16 imes 25$$
where $$h_1$$ and $$h_2$$ are the heights of two cylinders.
the ratio of their heights = 12 : 16 = 3 : 4
Option E is the correct answer