A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area
A
126.5cm\(^2\)
B
165.0cm\(^2\)
C
212.0cm\(^2\)
D
214.5cm\(^2\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
The surface area of an open-top cylinder = \pir(r + 2h),
where 'r' is the radius and 'h' is the height of the cylinder.
= \(\frac{22}{7}\) * 3.5 (3.5 + 2 * 8)
= 11 (3.5 + 16) → 11 (19.5)
= 214.5cm\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #64827)