Which sphere has a volume of 0.288Pi in.3? A sphere with radius 0.4 inches. A sphere with radius 0.5 inches. A sphere with radius 0.6 inches. A sphere with radius 0.7 inches.

Respuesta :

C. A sphere with radius 0.6 inches.

Here is why:

The equation for the volume of a sphere is:

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

We can plug in and solve.

[tex]V=\frac{4}{3}*\pi *0.6*0.6*0.6[/tex]

We will multiply everything but leave the 3 to divide later.

So...

[tex]4*\pi *0.6*0.6*0.6=0.864\pi[/tex]

Divide by 3.

[tex]0.864\pi /3=[/tex]

0.288π

Answer:

C. A sphere with radius 0.6 inches

Step-by-step explanation:

Volume = (4/3) pi × r³

0.288pi = (4/3)pi × r³

r³ = 0.216

r = 0.6