A pipe made of metal 10cm thick has an external... - JAMB Mathematics 2024 Question
A pipe made of metal 10cm thick has an external radius of 11cm. find the area of metal in making 2.4cm of pipe
A
21πcm2
B
70πcm2
C
15πcm2
D
17πcm2
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Correct Option: A
The pipe has an external radius of 11 cm and the metal thickness is 10 cm. Therefore, the internal radius is 11 - 10 = 1 cm. The area of the metal is the surface area of the pipe, which is given by the formula:
Surface area = 2π × (external radius + internal radius) × height
Substitute the values into the formula to calculate the area of the metal used in making the pipe. The correct value is 21π cm².
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