# How much volume will be decreased by

If the radius of a right circular cylinder is decreased by 50 % and its height is increased by 60 %, its volume will be decreased by:

- 60 %
- 50%
- 55%
- None of these

**Answer: (1) 60%**

**Explanation:-**

Let the height of the right circular cylinder be h m and radius be r cm.

Then, volume of the circular cylinder = Pi r^2 h.

Value of the Pi is constant so all the effect depends on radius and height.

Let intial volume was 100.

100 = 50% down radius effect => 50 ==50% down radius effect => 25 == 60% up height effect = 40.

Now, 100 become 40, it means there is 60% decremented in volume.

Hence, the correct answer is option (1) 60%.