Question in image

Question

Answer 1

Does "increased" here mean multiplied by 4? Otherwise this question is impossible.

If radius is 4x larger, then so is diameter, so think of that as 4d.

Height is 4x larger, so think of that as 4x

Lateral area of cylinder = pi*d*h

In this case, it's pi*4d*4h = 16 (pi*d*h) or 16 times more.

Answer 2

If dimension are increased by four-fold, then the area is increased by the square of that or 16-fold.