Question

find the volume of this sphere.

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

\\(r = 4\text{ ft}\\)

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

Explanation:

Identify the radius of the sphere

$$ r = 4\text{ ft} $$

Apply the sphere volume formula

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

Simplify the expression

$$ V = \frac{4 \cdot 64}{3}\pi = \frac{256}{3}\pi\text{ ft}^3 $$

Answer:

Find the volume of this sphere.

\(V = \frac{\text{SA} = 4\pi r^2}{V = \frac{4}{3}\pi r^3}\)

\(V =\) <blank>\(256\)</blank>\(\frac{\pi}{3}\text{ ft}^3\)