Question

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.

Answer 1

C. A sphere with radius 0.6 inches

Explanation:

Volume = (4/3) pi × r³

0.288pi = (4/3)pi × r³

r³ = 0.216

r = 0.6

Answer 2

C. A sphere with radius 0.6 inches.

Here is why:

The equation for the volume of a sphere is:

`V=(4)/(3) \pi r^3`

We can plug in and solve.

`V=(4)/(3)*\pi *0.6*0.6*0.6`

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

So...

`4*\pi *0.6*0.6*0.6=0.864\pi`

Divide by 3.

`0.864\pi /3=`

0.288π