What best describes the dropping height of a ball that bounced back up to a height of 45 centimeters?

Less than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
Greater than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
Less than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy
Greater than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy

Question

What best describes the dropping height of a ball that bounced back up to a height of 45 centimeters?

Less than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
 Greater than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
 Less than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy
 Greater than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy

AngeI · Answer

To help you out, I believe the ball would bounce higher than it was when it was dropped because of something to due with energy. Would you by chance know what that something is?