To find the volume of the cylinder, we need to use the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
If we have a cylinder with radius r and height h, and another cylinder with the same radius r but double the height (2h), the volume of the second cylinder is:
V' = πr^2(2h) = 2πr^2h
So, to answer the questions:
The volume of the cylinder is V = π(5 cm)^2(8 cm) = 100π cubic cm, which is approximately 314.16 cubic cm rounded to two decimal places.
The volume of the cylinder with the same radius and double the height is V' = 2π(5 cm)^2(8 cm) = 200π cubic cm, which is approximately 628.32 cubic cm rounded to two decimal place