Solve the problem.
-A water noodle is formed from a cylinder of radius 4 and height 8 by drilling through the diameter of the cylinder with a drill bit of radius 1. Find the volume of the water noodle.
A) $60 \pi$
B) $128 \pi$
C) $8 \pi$
D) $120 \pi$

Question

Solve the problem.
-A water noodle is formed from a cylinder of radius 4 and height 8 by drilling through the diameter of the cylinder with a drill bit of radius 1. Find the volume of the water noodle. 
A) $60 \pi$
B) $128 \pi$
C) $8 \pi$
D) $120 \pi$

Quizplus · Accepted Answer

The volume of the water noodle can be found by subtracting the volume of the drilled hole (a cylinder) from the volume of the original cylinder. The volume of the original cylinder is $V_1 = \pi r^2 h = \pi (4^2)(8) = 128 \pi$. The volume of the hole is $V_2 = \pi r^2 h = \pi (1^2)(8) = 8 \pi$. Therefore, the volume of the water noodle is $V = V_1 - V_2 = 128 \pi - 8 \pi = 120 \pi$.

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

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