Question

the radius of a ball is 3 cm. what is the volume of the ball?
a ( 36pi , \text{cm}^3 )
b ( 3pi , \text{cm}^3 )
c ( 9pi , \text{cm}^3 )
d ( 6pi , \text{cm}^3 )
e ( 24pi , \text{cm}^3 )

Explanation:

Step1: Recall the volume formula for a sphere

The volume \( V \) of a sphere (ball) is given by the formula \( V = \frac{4}{3}\pi r^3 \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given that the radius \( r = 3 \, \text{cm} \), we substitute \( r = 3 \) into the formula:

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Answer:

A. \( 36\pi \, \text{cm}^3 \)