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Answer :
To find the volume of a hemisphere with a diameter of 37.6 meters, follow these steps:
1. Calculate the Radius:
- The radius is half of the diameter. So, divide the diameter by 2.
- Radius = 37.6 m / 2 = 18.8 m
2. Volume of a Sphere:
- Use the formula for the volume of a sphere:
[tex]\[
V = \frac{4}{3} \pi r^3
\][/tex]
- Plug in the radius (18.8 m) into the formula to find the volume of the full sphere.
3. Volume of a Hemisphere:
- Since a hemisphere is half of a sphere, divide the volume of the sphere by 2.
- This gives you the volume of the hemisphere.
4. Round to the Nearest Tenth:
- Finally, round the calculated volume of the hemisphere to the nearest tenth of a cubic meter.
By following these steps, we find the volume of the hemisphere to be approximately 13,916.6 cubic meters.
1. Calculate the Radius:
- The radius is half of the diameter. So, divide the diameter by 2.
- Radius = 37.6 m / 2 = 18.8 m
2. Volume of a Sphere:
- Use the formula for the volume of a sphere:
[tex]\[
V = \frac{4}{3} \pi r^3
\][/tex]
- Plug in the radius (18.8 m) into the formula to find the volume of the full sphere.
3. Volume of a Hemisphere:
- Since a hemisphere is half of a sphere, divide the volume of the sphere by 2.
- This gives you the volume of the hemisphere.
4. Round to the Nearest Tenth:
- Finally, round the calculated volume of the hemisphere to the nearest tenth of a cubic meter.
By following these steps, we find the volume of the hemisphere to be approximately 13,916.6 cubic meters.
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