Find the volume that remains after a hole of radius 1 is bored through the center of a solid cylinder of radius 2 and height 4 .
A) $16 \pi$
B) $12 \pi$
C) $4 \pi$
D) $6 \pi$

Question

Quizplus · Accepted Answer

The volume of the original cylinder is given by $V = \pi r^2 h$, where $r = 2$ and $h = 4$, so $V = \pi \cdot 2^2 \cdot 4 = 16\pi$. The volume of the hole (a cylinder) is given by $V = \pi r^2 h$, where $r = 1$ and $h = 4$, so $V = \pi \cdot 1^2 \cdot 4 = 4\pi$. The volume that remains after the hole is bored through is the original volume minus the volume of the hole, which is $16\pi - 4\pi = 12\pi$.

Find the Volume That Remains After a Hole of Radius 16π16 \pi16π

Find the Volume That Remains After a Hole of Radius $16 \pi$