The diameter of a sphere is 8 centimeters. what is the volume of the sphere? use 3.14 for pi. enter your answer, as a decimal, in the box. round only your final answer to the nearest tenth. cm³

The volume of a sphere is given by the equation , where r is the radius.

We are given the diameter of the sphere, but recall that the diameter is twice the radius: . So the radius is half of the diameter: .

Half of 8 cm is 4 cm.

We substitute this for r in the equation and we use 3.14 for π.

The steps for this are below

recall volume of sphere formula is

we know the diameter so to get the radius we just divide the diameter by 2 to get the radius


know we can plug it into the volume of a sphere formula and solve using 3.14 for pi

simplify the parentheses and get

FINAL ANSWER (rounding to nearest tenth)

(1/x + 1)^2 + 6 (1/x + 1) +5