Solve the problem.
-Find the volume that remains after a hole of radius 1 is bored through the center of a solid cylinder of radius 4 and height 8.
A) $128 \pi$
B) $120 \pi$
C) $8 \pi$
D) $60 \pi$

Question

Solve the problem.
-Find the volume that remains after a hole of radius 1 is bored through the center of a solid cylinder of radius 4 and height 8. 
A) $128 \pi$
B) $120 \pi$
C) $8 \pi$
D) $60 \pi$

Quizplus · Accepted Answer

The volume of the original cylinder is calculated using the formula $V = \pi r^2 h$, where $r = 4$ and $h = 8$, giving $V = \pi \cdot 4^2 \cdot 8 = 128 \pi$. The volume of the hole is calculated similarly with $r = 1$, giving $V = \pi \cdot 1^2 \cdot 8 = 8 \pi$. Subtracting the volume of the hole from the original volume gives $128 \pi - 8 \pi = 120 \pi$.

Solve the Problem 128π128 \pi128π B) 120π120 \pi120π C) 8π8 \pi8π D) 60π60 \pi60π

Solve the Problem $128 \pi$ B) $120 \pi$ C) $8 \pi$ D) $60 \pi$