A soft drink company wants to increase the volume of the cylindrical can they sell soft drinks in by 25%. The company wants to keep the 5-inch height of the can the same. The radius of the can is currently 2.5 inches. Approximately how much should the radius of the can be increased

The radius should be increased by 0.295 inches.

Step-by-step explanation:

Volume of a cylinder:

In a cylinder, in which the base has radius , and the height is , the volume is given by:

In this question:

5 inch height, radius of 2.5 inches. So the volume is given by:

We want to increase the volume by 25%.

So, the new volume is given by:

With this volume, keeping the height, the radius should be of:

The radius should be of 2.795 inches, which is an increase of 2.795 - 2.5 = 0.295 inches.

no this is a nonlinear negative