Question

find the volume of this sphere.
sphere formulas
sa = 4πr²
v = \\(\frac{4}{3}\\)πr³
(the sphere has a radius r of 11 in)
v = \\(\frac{?π}{3}\\) in³

Explanation:

Step1: Identify the radius

The radius \( r \) of the sphere is given as \( 11 \) inches.

Step2: Use the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( r = 11 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\pi(11)^{3}\\ &=\frac{4}{3}\pi\times1331\\ &=\frac{5324}{3}\pi \end{align*}$$

\]

Answer:

\( \frac{5324}{3}\pi \) (or the boxed value is \( 5324 \) since the question has \( \frac{?\pi}{3} \), so the numerator is \( 5324 \))