Question

1. if you have a sphere with a radius of 4 cm, what is its volume?

a. 268.08 cm³
b. 252.14 cm³
c. 301.44 cm³
d. 201.06 cm³

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 \(r = 4\space cm\), we substitute into the formula:

$$
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$$

Step3: Calculate the numerical value

Taking \(\pi\approx3.14\), we have \(V=\frac{256}{3}\times3.14\)

$$
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$$

Answer:

A. \(268.08\space cm^{3}\)