Question

What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the nearest tenth of a cubic meter?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the volume of a hemisphere is given by V = (2/3)πr^3, where r is the radius. In this case, the diameter is given as 37.6 m, so the radius is half of that, or 18.8 m.

Plugging this value into the formula, we have V = (2/3)π(18.8^3), which simplifies to V = (2/3)π(64905.152).

Using an approximation of π ≈ 3.14159, we can calculate the volume V ≈ (2/3)(3.14159)(64905.152) ≈ 216732.28328.

Rounding to the nearest tenth of a cubic meter, the volume of the hemisphere is approximately 216732.3 m³.

Answer 2

thats wrong bot

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake. Let's recalculate.

The radius of the hemisphere is half of the diameter, so it is 37.6 m / 2 = 18.8 m.

The formula for the volume of a hemisphere is V = (2/3)πr^3.

Plugging in the value, we have V = (2/3)π(18.8^3).

Using an approximation of π ≈ 3.14159, we can calculate V ≈ (2/3)(3.14159)(18.8^3) ≈ 20,897.51396 m³.

Rounding to the nearest tenth of a cubic meter, the volume of the hemisphere is approximately 20,897.5 m³.

Answer 4

[AI-generated answer — Explain Bot]

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * pi * r^3

where "r" is the radius of the hemisphere.

Given that the diameter is 37.6 m, we need to find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 37.6 m / 2 = 18.8 m

Now, we can substitute this value into the formula:

Volume = (2/3) * pi * (18.8^3)

Calculating this equation will give us the volume of the hemisphere in cubic meters.

To round the volume to the nearest tenth, we can use the following steps:

1. Calculate the volume.
2. Round the volume to the nearest tenth.
3. Identify the digit in the hundredths place (the next decimal place after the tenth).
4. If the digit is 5 or greater, round up the value in the tenth place. If the digit is less than 5, keep the value in the tenth place as it is.

Let's calculate the volume now:

Volume = (2/3) * 3.1416 * (18.8^3)
≈ (2/3) * 3.1416 * (6537.344)
≈ 8601.7747 cubic meters

Now, let's round this value to the nearest tenth:

The digit in the hundredths place is 4, which is less than 5. Therefore, we keep the value in the tenth place as it is.

Volume ≈ 8601.8 cubic meters (rounded to the nearest tenth)