Multiple Choice Questions

If the radii of two cylinders are in the ratio of 2 3 and their heights are in the ratio of 5 3 then...........

Quantitative Aptitude (CHSL) Mensuration 3D

If the radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, then the ratio of their volumes is:

This questions was previously asked in

SSC CHSL 1st June 2022 Shift-1

22: 15

20 : 27

3 : 4

16: 23

- The volume of a cylinder is calculated using the formula V = pr²h, where r is the radius and h is the height.

- Let's assume the radii are 2x and 3x, following the 2:3 ratio.

- Assume the heights are 5y and 3y, according to the 5:3 ratio.

- Volume of the first cylinder: V1 = p(2x)²(5y) = 20px²y.

- Volume of the second cylinder: V2 = p(3x)²(3y) = 27px²y.

- The ratio of the volumes is V1:V2 = 20px²y:27px²y, which simplifies to 20:27.

Option:2, 20:27, is the correct answer.

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