Question

a soccer ball is modeled as a sphere with a radius of 11 cm. what is the volume of the ball in terms of π?
a. 1234π cm³
b. 5324/3 π cm³
c. 4000π cm³
d. 1331/3 π cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given radius into the formula

Given \(r = 11\) cm. Then \(r^{3}=11\times11\times11=1331\).
Substitute into the formula: \(V=\frac{4}{3}\pi\times1331=\frac{5324}{3}\pi\) \(cm^{3}\)

Answer:

B. \(\frac{5324}{3}\pi\) \(cm^{3}\)