The diameter of a sphere is 3 inches. Which equation can be used to find V, the volume of the sphere in cubic inches?(1 point)Responses V= 4π(1.5)3V= 4π(1.5)3V= 4π(3)2V= 4π(3)2V= 43π(1.5)3V= 43π(1.5)3V= 43π(3)2

Answer 1

To find the volume \( V \) of a sphere, you can use the formula:

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

where \( r \) is the radius of the sphere.

Given that the diameter of the sphere is 3 inches, the radius \( r \) would be half of that:

\[ r = \frac{3}{2} = 1.5 \text{ inches} \]

Substituting this value into the volume formula gives:

\[ V = \frac{4}{3} \pi (1.5)^3 \]

Therefore, the correct equation to find the volume \( V \) of the sphere in cubic inches is:

\[ V = \frac{4}{3} \pi (1.5)^3 \]

This corresponds with the option:

V = \(\frac{4}{3} \pi (1.5)^3\).