Find the volume of a sphere with a diameter 40 cm in length. Approximate pi as 3.14 and round your answer to the nearest tenth. A. 5,026.5 cm3 B. 33,493.3 cm3 C. 42,090.0 cm3 D. 268,082.6 cm3

Respuesta :

Answer:

Option B. [tex]33,493.3\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=40/2=20\ cm[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=\frac{4}{3}(3.14)(20)^{3}=33,493.3\ cm^{3}[/tex]