12) The radius of a sphere is 7 in. What is the sphere's volume? Round to the nearest tenth, if necessary. A) 723.2 cm3 B) 1436.8 cm3 C) 1868.2 cm3 D) 2052.5 cm3

Respuesta :

Given the radius [tex] r [/tex], the volume of a sphere is

[tex] \dfrac{4}{3}\pi r^3[/tex]

So, in your case, the volume is

[tex] \dfrac{4}{3}\cdot 7^3 \pi= \dfrac{1372}{3}\pi \approx 1436.7550402[/tex]

So, the closest option is 1436.8 cm3

sid071

Hey there!!

The volume of a sphere =

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

'r' is the radius.

The radius is given by 7 in.

The volume =

... [tex]\frac{4}{3} \pi 7^{3}[/tex]

... [tex]\frac{4}{3}(3.14)(343)[/tex]

... [tex]\frac{4}{3}(1077.02)[/tex]

... [tex]4(359.19)[/tex]

... [tex]1436.76[/tex]

Hence, the volume is 1436.8 cm³ as stated in option(B)

Hope my answer helps!