What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]
A
77cm2
B
227cm2
C
297cm2
D
374cm2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
T.S.A of s closed cylinder = \(2\pi r(r+h)\)
=\(\frac{2}{1}\times \frac{22}{7} \times \frac{7}{2}\left(\frac{7}{2}+\frac{10}{1}\right) = \frac{22}{1}\left(\frac{27}{2}\right) = 27 \times 11 =297cm^2\)
Source: Myschool Past Questions Archive (Record #26696)