Mathematics: Use the picture for the question and the answer choices: )

Use the picture for the question and the answer choices:

nourmaali

30.10.2022

332 cubic inches

Step-by-step explanation:

Given : Height of cylinder = 14 inches

Diameter of Base(including thickness = 8 inches

The wall of the pipe is 1.25 inches thick.

To find: What is the approximate inside volume of the pipe?

Solution:

Diameter including thickness = 8 inches

Since thickness of wall = 1.25 inches

So, diameter excluding thickness from both sides = 8-2(1.25)

= 8-2.5

= 5.5

Thus the diameter excluding thickness = 5.5 inches

Radius of cylinder = $\frac{Diameter}{2} =\frac{5.5}{2}=2.75$

Volume of cylinder = $\pi r^{2} h$

Where r is the radius

h is the height

Substitute the values .

Volume of cylinder = $3.14 \times (2.75)^{2} \times 14$

= 332.4475

Thus the approximate volume of cylinder is 332 cubic inches.

Hence Option C is correct.

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