In the diagram below AH, AD, and DH are each tangent to circle Q. AT=9,AH=13, and AD= 15 what is HD

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

How do i do this activity, is appreciated

Acylinder has volume 45π and radius 3. what is it’s height?