Question

find the volume of this sphere.
sphere formulas
\\(sa = 4\pi r^2\\)
\\(v = \frac{4}{3}\pi r^3\\)
\\(v = \frac{?\pi}{3}\text{ cm}^3\\)

Explanation:

Identify the given radius

The diagram shows a sphere with a radius labeled as:
\(r = 14\text{ cm}\)

State the volume formula

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

Substitute the radius into the formula

Substitute \(r = 14\) into the volume equation:
\(V = \frac{4}{3}\pi (14)^3\)

Calculate the cubed radius

Calculate the value of \(14^3\):
\(14^3 = 2744\)

Simplify the expression

Multiply the numerator by \(4\) to match the required form \(V = \frac{[?]\pi}{3}\):
\(4 \times 2744 = 10976\)
\(V = \frac{10976\pi}{3}\text{ cm}^3\)

Answer:

Find the volume of this sphere.

\(V = \frac{\text{10976}\pi}{3}\text{ cm}^3\)