Question

If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.

• A. Remains same
• B. Doubled
• C. Four times
• D. Three times

Answer 1

The correct option is B

Doubled

Let the radius of a cylinder be 'r' and the height of a cylinder be 'h'.
$\text{Volume of cylinder}=V=\pi r^{2}h\text{New radius}=2r\text{New height}=\frac{h}{2}\text{New volume}=\pi (2r{)}^2\frac{h}{2}=2\pi r^{2}h\text{New volume}=2V$