Question

question 5 of 10
what is the volume of a sphere with a radius of 18 units?
a. 7776π units³
b. 1296π units³
c. 5832π units³
d. 1944π units³

Explanation:

Step1: Recall the volume formula for 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 \(r = 18\) units. Substitute \(r = 18\) into \(V=\frac{4}{3}\pi r^{3}\), we get \(V=\frac{4}{3}\pi\times(18)^{3}\).

Step3: Calculate \((18)^{3}\)

\((18)^{3}=18\times18\times18 = 5832\).

Step4: Calculate \(\frac{4}{3}\times5832\)

\(\frac{4}{3}\times5832=4\times1944 = 7776\).

Step5: Get the final volume

So, \(V = 7776\pi\) units\(^{3}\).

Answer:

A. \(7776\pi\) units\(^{3}\)