What is the radius, in inches, of a right circular cylinder if the lateral surface area is  square inches and the volume is  cubic inches?

 

 

The lateral surface area of a cylinder is the circumference times the height, or .

 

The volume of a cylinder is the area of the base times the height, or . 

 

 

Solving each for the same variable, h

 

 

Setting the right hand sides equal

 

 

The radius is 2 inches.