Question on: JAMB Mathematics - 2024
A cylindrical pipe 50cm long with radius 7m has one end open. What is the total surface area of the pipe?
A
749\(\pi\)m2
B
700\(\pi\)m2
C
350\(\pi\)m2
D
98\(\pi\)m2
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Correct Option: B
Total Surface Area of an open cylinder is:
\[ TSA = 2\pi rh + \pi r^2 \]
Convert units:
Length = 50 cm = 0.5 m
Compute areas:
Curved surface area:
\[ 2\pi (7)(0.5) = 7\pi \]
Area of base:
\[ \pi (7^2) = 49\pi \]
Total:
\[ 7\pi + 49\pi = 56\pi \]
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