Question

a sphere has a radius of 10 cm. what is its volume in terms of π?
a. (\frac{4000}{3}pi cm^{3})
b. (2500pi cm^{3})
c. (4000pi cm^{3})
d. (500pi cm^{3})

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume 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 $V=\frac{4}{3}\pi r^3$:

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Answer:

A. $\frac{4000}{3}\pi \text{ cm}^3$