The curved surface area of a cylindrical tin is 704cm2. If the radius of its base is 8cm, find the height. [Take \(\pi = \frac{22}{7}\)]`
A
14cm
B
9cm
C
8cm
D
7cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Curved surface area = 2\(\pi h\)
704 = 2 x \(\frac{22}{7} \times 8 \times h\)
704 = \(\frac{352}{7}\)h
352h = 704 x 7
h = \(\frac{704 \times 7}{352}\)
= \(\frac{4928}{352}\)
h = 14cm
Source: Myschool Past Questions Archive (Record #36763)