Question

13) What measurement is closest to the volume of the sphere in cubic inches?

Answer 1

113.1 in³

Step-by-step explanation:

The volume of a sphere can be calculated as:

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

Where π is 3.1416 and r is the radius of the sphere.

The radius of the sphere is half the diameter, so the radius is equal to:

`\text{radius = }(Diameter)/(2)=\frac{6\text{ in}}{2}=3\text{ in}`

So, the volume of the sphere in cubic inches is:

`\begin{gathered} V=(4)/(3)\cdot3.1416\cdot(3in)^3 \\ V=(4)/(3)\cdot3.1416\cdot27 \\ V=113.1in^3 \end{gathered}`

Therefore, the answer is 113.1 in³