The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.
Responses
A 971.7 cm^3
B 1072.3 cm^3
C 1137.4 cm^3
D 2143.6 cm^3
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Since the diameter of the sphere is given as 16 cm, the radius will be half of that, which is 8 cm.
Plugging the radius into the formula, we get V = (4/3)π(8^3) = (4/3)π(512).
Using the approximation π ≈ 3.14, we can calculate the volume:
V ≈ (4/3)(3.14)(512) ≈ 2143.6 cm^3.
Therefore, the correct answer is D, 2143.6 cm^3.