Question

find the volume of this sphere.

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

\\(r = 7\text{ in}\\)

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

Explanation:

Identify the given radius

$$ r = 7\text{ in} $$

Apply the sphere volume formula

$$ V = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi (7)^3 $$

Calculate the numerator value

$$ V = \frac{4 \cdot 343}{3}\pi = \frac{1372}{3}\pi\text{ in}^3 $$

Answer:

Find the volume of this sphere.
\(V = \frac{\text{Sphere Formulas}}{

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

}\)
\(V = \frac{\text{1372}\pi}{3}\text{ in}^3\)