The area of the curved surface of a right circular cylinder is 19 5 M2 and its volume is 3...........

Quantitative Aptitude (MTS) Mensuration 3D

The area of the curved surface of a right circular cylinder is 19.5 M² and its volume is 39 M³ . What is the radius (in m) of its

base?

This questions was previously asked in

SSC MTS 20th October 2021 Shift-2

- The curved surface area (CSA) of a cylinder is given by the formula: \(2\pi rh = 19.5 \, \text{m}^2\).

- The volume (V) of a cylinder is given by: \(\pi r^2 h = 39 \, \text{m}^3\).

- From the CSA formula, you have \(h = \frac{19.5}{2\pi r}\).

- Substitute the value of \(h\) from CSA into the volume formula: \(\pi r^2 \left(\frac{19.5}{2\pi r}\right) = 39\).

- Simplify and solve for \(r\): \(r \cdot 19.5 = 78\).

- This gives \(r = \frac{78}{19.5} = 4\).

- Correct Answer: 4

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