Question

a soccer ball has a radius of 11 cm. what is the volume of the soccer ball in terms of π?
a. (\frac{529}{3}pi cm^{3})
b. (\frac{5,324}{3}pi cm^{3})
c. (5,324pi cm^{3})
d. (\frac{4,840}{3}pi cm^{3})

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: \(V=\frac{4}{3}\pi\times1331\).
Calculate \(\frac{4\times1331}{3}=\frac{5324}{3}\).

Answer:

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