The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
Given that,
A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
We have to determine the resulting solid's volume.
We know that,
Volume of the original ball= 4/3πr³
Radius r=16
Volume v₁=4/3π(16)³ = 16384π/3
Volume of hole = 4/3πr³
Radius r=5
Volume v₂=4/3π(5)³ = 500π/3
Volume of the resulting solid = v₁-v₂
= 16384π/3 - 500π/3
= 15882π/3
= 16623
Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.
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