Question

The volume of a sphere is 4,186.67 cm cubed. To the nearest centimeter​, what is the radius of the​ sphere? Use 3.14 for π.

A.8
B.5
C.10

Answer 1

Using the volume formula for a sphere (V = (4/3)πr3), the radius for the given volume of 4,186.67 cm3 is calculated to be 10 cm, making option C correct.

Step-by-step explanation:

The volume of a sphere is given by the formula V = (4/3)πr3. To find the radius of a sphere with a volume of 4,186.67 cm3, we rearrange the formula to solve for r:

r = ∛((3V) / (4π))

Substituting the given volume and 3.14 for π:

r = ∛[(3×4,186.67 cm3) / (4×3.14)]

r = ∛[(12,560.01 cm3) / (12.56)]

r = ∛(1,000)

r = 10 cm

So, to the nearest centimeter, the radius of the sphere is 10 centimeters, making option C the correct answer.

Answer 2

4186.67 / 3.14 / 4/3 = 111
Cube root 111 is about 5
B. 5