What is the volume of a sphere with a radius of 6 meters rounded to the nearest square meter
1. 905 m3
2. 679 m3
3. 452 m3
4. 226 m3
explain why
The correct answer is 905 m3.
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius and π is the constant pi.
Plugging in a radius of 6 meters, we get:
V = (4/3)π(6^3)
V ≈ 904.7779
Rounding to the nearest square meter, we get 905 m3 as our answer.
It's important to note that, since volume is a measure of cubic units, it wouldn't make sense to round to the nearest square meter. However, since the question specifically asks for the answer to be rounded in that way, we follow those instructions.
To find the volume of a sphere, you can use the formula: V = (4/3)πr³, where V represents the volume and r represents the radius of the sphere.
In this case, the radius of the sphere is given as 6 meters.
Substituting this value into the formula:
V = (4/3)π(6)³
V ≈ 904.7786842338603 m³
Rounding this value to the nearest square meter, we get 905 m³.
Therefore, the correct answer is 1. 905 m³.