If the height of a cylinder becomes 1/4 of the original height and the radius is doubled, then which of the following will be true?
(a) Volume of the cylinder will be doubled.
(b) Volume of the cylinder will remain unchanged.
(c) Volume of the cylinder will be halved.
(d) Volume of the cylinder will be1/4 of the original volume
The correct answer is option (b) Volume of the cylinder will remain unchanged.
We know that, the volume of a cylinder is π × r2 × h
We know that, base radius and height of the cylinder is “r” and “h” respectively.
Now, height “h” becomes (1/4)h and “r” becomes “2r”, then the volume of the cylinder is:
(V) = π × 4r2 × (1/4) h = πr2h = v
Therefore, the volume of new cylinder = the volume of original cylinder.