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What is the volume of a pipe with a cross-section that is 9 cm wide and a height of 13 cm?

a) 117 cm³
b) 99 cm³
c) 1170 cm³
d) 693 cm³

User Putty
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1 Answer

2 votes

Final answer:

The volume of a cylindrical pipe with a width (diameter) of 9 cm and a height of 13 cm can be calculated as π × (4.5 cm)² × 13 cm = 826.76 cm³. The question choices provided do not match the calculated volume, indicating there might be a mistake in the given information.

Step-by-step explanation:

The volume of a cylindrical pipe can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the pipe. In this case, we do not have the radius but the width of the pipe, which is equivalent to the diameter since the pipe has a circular cross-section. Therefore, the radius will be half of the width (9 cm / 2 = 4.5 cm). Now, using the formula:

V = π × (4.5 cm)² × 13 cm

Calculating this, we get:

V = 3.1416 × 20.25 cm² × 13 cm

V = 3.1416 × 263.25 cm³ = 826.76 cm³

Unfortunately, there seems to be a confusion in the question choices provided as the calculated volume does not match any of the options given. Please ensure the dimensions and the question choices are correct.

User Rupak Nepali
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6.7k points