Question

1. a sphere has a radius of 10 cm. what is its volume in terms of π?

a. 500π cm³
b. 2500π cm³
c. 4000/3 π cm³
d. 4000π cm³

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \(V\) of 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 \(r = 10\) cm. Substitute \(r=10\) into \(V=\frac{4}{3}\pi r^{3}\). Then \(V=\frac{4}{3}\pi\times(10)^{3}\).
First, calculate \((10)^{3}=10\times10\times10 = 1000\).
So \(V=\frac{4}{3}\pi\times1000=\frac{4000}{3}\pi\) \(cm^{3}\).

Answer:

C. \(\frac{4000}{3}\pi\ cm^{3}\)