Question

what is the volume of this sphere? round your answer to the nearest hundredth. image of a sphere with diameter 88 in cubic inches submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 88 inches. The radius \( r \) is half of the diameter, so \( r=\frac{88}{2} = 44 \) 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 \( r = 44 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\pi(44)^{3}\\ &=\frac{4}{3}\pi\times44\times44\times44\\ &=\frac{4}{3}\pi\times85184\\ &=\frac{340736}{3}\pi\\ &\approx\frac{340736}{3}\times3.14159\\ &\approx356827.04 \end{align*}$$

\]

Answer:

\( 356827.04 \) cubic inches