Final answer:
To find the diameter of a sphere with a given volume, you can use the formula for the volume of a sphere and solve for the diameter. The formula is V = (4/3)πr³, where V is the volume and r is the radius.
Step-by-step explanation:
To find the diameter of a sphere with a given volume, you can use the formula for the volume of a sphere and solve for the diameter. The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius. Since the diameter is equal to twice the radius, we can rewrite the formula as V = (4/3)π(d/2)³, where d is the diameter. Rearranging the formula to solve for d, we get d = (3V/4π)^(1/3). Plugging in the given volume of 2171m³, we can calculate the diameter to the nearest tenth of a meter.
d = (3*(2171)/(4π))^(1/3)
Calculating this expression, we get d ≈ 14.4 meters. Therefore, the diameter of the sphere is approximately 14.4 meters to the nearest tenth.