What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3 square inches and its volume is 3 cubic inches?
We can set up some equations solving for the radius. The formula to find the lateral surface area of any right circular cylinder is 2πrh and the formula to find the volume of any right circular cylinder is πr2h. Therefore, we can write 2πrh = 3 and πr2h = 3. Since we are only solving for r, we can set the equations equal and write 2πrh = πr2h. This simplifies to r = 2.
I hope this helped,