Question

find the volume of this sphere.

sphere formulas
\\(sa = 4\pi r^2\\)
\\(v = \frac{4}{3}\pi r^3\\)

\\(r = 13\text{ ft}\\)

\\(v = \frac{?\pi}{3}\text{ ft}^3\\)

Explanation:

Identify the given values and formula

The radius of the sphere is given as:
\(r = 13\text{ ft}\)

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

Substitute the radius into the formula

$$ V = \frac{4}{3}\pi (13)^3 $$

Calculate the volume in terms of pi

$$
LATEXBLOCK0
$$

Answer:

Find the volume of this sphere.

\(V = \frac{\text{8788}}{3}\pi\text{ ft}^3\)