Final answer:
The height of the cylinder is calculated by rearranging the formula for curved surface area to solve for height, yielding a result of 7cm, which matches option (B).
Step-by-step explanation:
The student is asking to calculate the height of a cylindrical tin with a given curved surface area. Using the formula for the curved (lateral) surface area of a cylinder, which is A = 2πrh, where A is the surface area, r is the radius, and h is the height, we can rearrange the formula to solve for h. In this case, the curved surface area (A) is 704cm² and the radius (r) is 8cm. With π approximated as 22/7, the calculation is as follows:
h = A / (2πr)
= 704 / (2 * (22/7) * 8)
After performing the division, we find that the height is 7cm, which corresponds to option (B).