Multiple choice

The base radius of a cylinder is 2 times its height. The cost of painting its CSA at 4 paise/cm2 is Rs. 100. The volume of the cylinder is approximately

  1. 37500 cm3

  2. 80580 cm3

  3. 50500 cm3

  4. None of these

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A Correct answer
AI explanation

Using the cylinder formulas where radius is twice the height, the curved surface area is 2*pi*(2h)h = 4*pi*h^2. The cost gives the area as 100 divided by 0.04, which equals 2500, so 4(22/7)*h^2 = 2500. Solving for h gives h = 14.1 cm, meaning r = 28.2 cm, and the volume formula pi*r^2*h gives approximately 37500 cm3.