Answer :
Blood sugar levels are measured in milligrams of glucose per decilitre of blood volume. If a person's blood sugar level measured 128mg/dL.
A blood sugar level of 128 mg/dL is equivalent to 0.128 g/L.
The radius of a sphere is 15.0 cm. The volume of the sphere is 0.014137166 m³.
To convert blood sugar level from milligrams per deciliter (mg/dL) to grams per liter (g/L), we need to convert both the unit of volume and the unit of mass.
Converting mg/dL to g/L:
Since 1 gram (g) is equal to 1000 milligrams (mg) and 1 liter (L) is equal to 10 deciliters (dL), we can use these conversion factors to convert the units:
1 mg/dL = 0.001 g/L
Therefore, to convert 128 mg/dL to g/L, we multiply it by the conversion factor:
128 mg/dL * 0.001 g/L = 0.128 g/L
So, a blood sugar level of 128 mg/dL is equivalent to 0.128 g/L.
Calculating the volume of a sphere:
The formula for the volume of a sphere is given by:
Volume = (4/3) * π * radius³
Radius = 15.0 cm
Substituting the value into the formula, we get:
Volume = (4/3) * π * (15.0 cm)³
Volume = 14137.166 cm³
Converting cm³ to m³:
Since 1 meter (m) is equal to 100 centimeters (cm) and 1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³), we can use these conversion factors to convert the units:
1 cm³ = 1 x 10⁻⁶ m³
Therefore, to convert 14137.166 cm³ to m³, we multiply it by the conversion factor:
14137.166 cm³ * (1 x 10⁻⁶ m³/cm³) = 0.014137166 m³
So, the volume of the sphere is approximately 14137.166 cm³ or 0.014137166 m³.
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