Question

what is the volume of the sphere ? 6 in 37.68 113.04 150.72 904.32

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 6 inches. The radius \( r \) is half of the diameter, so \( r=\frac{6}{2} = 3 \) inches.

Step2: Use the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( r = 3 \) and \( \pi\approx3.14 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\times3.14\times3^{3}\\ &=\frac{4}{3}\times3.14\times27\\ &=4\times3.14\times9\\ & = 113.04 \end{align*}$$

\]

Answer:

113.04