A cylindrical pipe 50cm long with radius 7m has... - JAMB Mathematics 2024 Question
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
To calculate the total surface area of the cylindrical pipe, we need to consider the curved surface area and the area of the open end (which is a circle). Since one end is open, we do not include the area of that end in the calculation.
Here's how to solve it:
-
Convert units: The length is given in cm, while the radius is in meters. Convert the length to meters:
- Length = 50 cm = 0.5 m
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Curved surface area: The formula for the curved surface area of a cylinder is 2πrh, where r is the radius and h is the height (length).
- Curved surface area = 2 * π * 7 m * 0.5 m =
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