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Calculate the volume of a cylinder with a diameter of 18 km and a height of 0.22 km.

a) 207.36 km³

b) 1017.36 km³

c) 693.24 km³

d) 712.20 km³

1 Answer

1 vote

Final answer:

The volume of a cylinder with a diameter of 18 km and a height of 0.22 km is calculated using the formula V = πr²h and yields an answer of 56.05364 km³, which does not match any of the provided options, indicating a possible error in the options or a need for clarification.

Step-by-step explanation:

To calculate the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, r is the radius of the cylinder, and h is the height of the cylinder. Given that the diameter of the cylinder is 18 km, the radius (r), which is half of the diameter, will be 9 km. Now, we can plug the values into the formula:

V = π × (9 km)² × 0.22 km
V = π × 81 km² × 0.22 km
V = π × 17.82 km³

To get the numerical value, we use the value of π as approximately 3.142:

V = 3.142 × 17.82 km³
V = 56.05364 km³

However, none of the provided options (a, b, c, d) match this result. It is possible that there might be a calculation error or a mistake in the provided options. Therefore, we must review our calculations or seek clarification on the options provided.

User Alif Jahan
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