Question

A ball of radius 14 has a round hole of radius 4 drilled through its center.

Answer 1

The volume of the spherical solid resulting of the drill is of 11,226 units³.

What is the volume of a sphere?

The volume of a sphere of radius r is given as follows:

$V = \frac{4\pi r^3}{3}$

In this problem, we have two spherical balls, one of radius 14 and other of radius 4, hence their volumes are given as follows:

$V_1 = \frac{4\pi 14^3}{3} = 11494$

$V_2 = \frac{4\pi 4^3}{3} = 268$

The volume of the resulting solid is the difference of the volumes, hence:

V = 11494 - 268 = 11,226 units³.

More can be learned about the volume of a sphere at brainly.com/question/25608353

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