Question

Volume of cylinder which exactly fits in a cube of side ${}^{\prime }{a}^{\prime }$ is

• A. $2\pi r^2$
• B. $2\pi r^3$
• C. $\pi r^2$
• D. None of the above

Answer 1

The correct option is B $2\pi r^3$

Let ${}^{\prime }{H}^{\prime }$ be the height of the cylinder and ${}^{\prime }{r}^{\prime }$ be the radius.

The cylinder fits in the cube exactly.

$\therefore H=2r$ and $r=r$

$\text{Volume of Cylinder}=\pi r^{2}H$

$=\pi \times r^2\times r$

$=\pi \times r^2\times 2r$

$=2\pi r^3$