A baker makes muffins that serve 1 person each. For a party, the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people.

1. By what scale factor will the muffin need to be dilated?
2. The muffins are contained in decorative paper liners. How many times more paper will be required for the dilated muffin as for the original?

A board game manufacturer wraps its game boxes in plastic. Its most popular game comes in a box that’s 8 cm tall and uses 1408 square centimeters of plastic wrap. The company sells a travel version of the game in a box that's a dilation of the original box. The travel version uses 198 square centimeters of plastic wrap. How tall is the travel version's box?

A cone has surface area \(360\pi\) in² and volume \(800\pi\) in³. The cone is dilated, and the surface area of the dilated cone is \(2,\!250\pi\) in². What is the dilated cone's volume?