the diameter of a sphere is 16 cm. What is the sphere's volume? round to the nearest tenth.
a 97.1 cm^3
b 1072.3 cm^3
c 1137.4 cm^3
d 2143.6 cm^3
The diameter of a sphere is double the length of its radius. Therefore, the radius of the sphere is 16 cm / 2 = 8 cm.
The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.
Substituting the given radius into the formula, we have V = (4/3)π(8 cm)^3.
Using the value of π as approximately 3.14, we can calculate the volume:
V = (4/3)(3.14)(8 cm)^3
V = (4/3)(3.14)(512 cm^3)
V ≈ 2143.57 cm^3
Rounding to the nearest tenth, we get V ≈ 2143.6 cm^3.
Thus, the correct answer is d) 2143.6 cm^3.