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 radius

$$ r = 13\text{ ft} $$

Apply the sphere volume formula

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

Calculate the numerator value

$$ V = \frac{4 \cdot 2197}{3}\pi = \frac{8788}{3}\pi\text{ ft}^3 $$

Answer:

Find the volume of this sphere.

\(V = \frac{\text{Sphere Formulas}}{

$$\begin{aligned} \text{SA} &= 4\pi r^2 \\ V &= \frac{4}{3}\pi r^3 \end{aligned}$$

}\)

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