for_twins_2_math_operations.md

For Twins: 2. Math operations

Description

Task:

A magician in the subway showed you a trick, he put an ice brick in a bottle to impress you. The brick's length and width are equal, forming a square; its height may be different. Just for fun and also to impress the magician and people around, you decided to calculate the brick's volume. Write a function iceBrickVolume that will accept these parameters:

• radius - bottle's radius (always > 0);
• bottleLength - total bottle length (always > 0);
• rimLength - length from bottle top to brick (always < bottleLength);

And return volume of ice brick that magician managed to put into a bottle.

Note:

All inputs are integers. Assume no irregularities to the cuboid brick. You may assume the bottle is shaped like a cylinder. The brick cannot fit inside the rim. The ice brick placed into the bottle is the largest possible cuboid that could actually fit inside the inner volume.

Example 1:

radius = 1
bottle_length = 10
rim_length = 2

volume = 16

Example 2:

radius = 5
bottle_length = 30
rim_length = 7

volume = 1150

My Solution

def ice_brick_volume(radius, bottle_length, rim_length)
  2 * radius**2 * (bottle_length - rim_length)
end