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
The total surface area of an open-ended cylinder is given by the formula:
Total Surface Area = Curved Surface Area + Area of the base
-
Identify the values:
- Length (h) = 50 cm = 0.5 m
- Radius (r) = 7 m
-
Calculate the Curved Surface Area:
- Curved Surface Area = 2πrh
- Curved Surface Area = 2 * π * 7 m * 0.5 m = 7π m²
-
Calculate the Area of the base:
- Area of the base = πr²
- Area of the base = π * (7 m)² = 49π m²
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