**Question:**

**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**

**Solution:**

The correct answer is option **(b) Volume of the cylinder will remain unchanged.**

**Explanation:**

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.