Multiple choice

The curved surface area of a right circular cylindar of base radius $r$ is obtained by :

  1. $2r$
  2. $\dfrac{2}{r}$
  3. $2{r^2}$
  4. $\dfrac{2}{{{r^2}}}$
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B Correct answer
AI explanation

The statement asks for the factor by which the curved surface area of a right circular cylinder, given by the formula 2*pi*r*h, is multiplied or divided to obtain its volume, given by the formula pi*r^2*h. Setting the relationship as 2*pi*r*h * factor = pi*r^2*h, the factor resolves to r/2, meaning the intended division factor must be 2/r. Dividing the curved surface area by 2/r multiplies it by r/2, successfully yielding the volume.

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