Question

If the curved surface area of a cylindrical pipe is 44,000 cm? and its diameter is 5 cm, find its length. (Take ∏=22/7)

• A. 19 m
• B. 24.5 m
• C. 28 m
• D. 14 m

Answer 1

Answer:

C. 28 m

Given:

• Curved surface area (CSA) of the cylinder = 44,000 cm²

• Diameter = 5 cm ⟹ Radius (r = \frac{5}{2} = 2.5) cm

• $\pi = \frac{22}{7}$

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Formula:

Curved surface area of a cylinder:
$\text{CSA} = 2\pi r h$

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Substitute the values:

$44000 = 2 \times \frac{22}{7} \times 2.5 \times h$

Simplify:
$44000 = \frac{110}{7} \times h$
Solve for (h):

$h = 44000 \times \frac{7}{110}$
$h = 400 \times 7 = 2800cm=28m$