Question

inner circle radius 90cm
outer circle radius = 160cm
what is the volume in between outer and inner circle

Explanation:

Identify given values

We extract the dimensions:

• Inner circle radius \(r = 90\text{ cm}\)
• Outer circle radius \(R = 160\text{ cm}\)
• The question asks for the "volume in between outer and inner circle". Since circles are 2D, this refers to the 2D area (often colloquially called volume in some contexts, or assuming a unit depth \(h = 1\text{ cm}\)). We will calculate the area of the region between them (the annulus):

$$
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$$

Calculate outer circle area

We find the area of the outer circle:

$$
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$$

Calculate inner circle area

We find the area of the inner circle:

$$
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$$

Calculate difference in area

We subtract the inner area from the outer area:

$$
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$$

Compute numerical value

We evaluate the final area using \(\pi \approx 3.14159\):

$$
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$$

Answer:

The area (or volume per unit depth) of the region between the outer and inner circle is:

$$17500\pi\text{ cm}^2 \approx 54977.87\text{ cm}^2$$